Persons RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB     Il'in, Vladimir Aleksandrovich (1928–2014) Statistics in MathSciNet: 399 (282) in zbMATH: 262 (210) in Web of Science: 145 (83) in Scopus: 65 (56) Full member of the Russian Academy of Sciences Professor Doctor of physico-mathematical sciences (1958) Birth date: 2.05.1928 https://www.mathnet.ru/eng/person9197 https://ru.wikipedia.org/wiki/Ilin,_Vladimir_Aleksandrovich_(matematik) List of publications on Google Scholar https://zbmath.org/authors/ai:ilin.v-a https://mathscinet.ams.org/mathscinet/MRAuthorID/196208 https://elibrary.ru/author_items.asp?authorid=1515 ISTINA https://istina.msu.ru/workers/378722 List of publications: | scientific publications | by years | by types | by times cited | common list | Citations (Crossref Cited-By Service + Math-Net.Ru) 1. V. A. Il'in, A. A. Kuleshov, “Equivalence of Two Definitions of a Generalized $L_p$ Solution to the Initial–Boundary Value Problem for the Wave Equation”, Proc. Steklov Inst. Math., 284 (2014), 155–160               2. V. A. Il'in, A. A. Kuleshov, “Necessary and Sufficient Conditions for a Generalized Solution to the Initial–Boundary Value Problem for the Wave Equation to Belong to $W^1_p$ with $p\geq 1$”, Proc. Steklov Inst. Math., 283 (2013), 110–115             3. V. A. Il'in, A. A. Kuleshov, “Criterion for a generalized solution in the class $L_p$ for the wave equation to be in the class $W_p^1$”, Dokl. Math., 86:3 (2012), 740–742             4. V. A. Il'in, A. A. Kuleshov, “A criterion for the membership in the class $L_p$ with $p\ge 1$ of the generalized solution to the mixed problem for the wave equation”, Dokl. Math., 86:2 (2012), 688–690             5. V. A. Il'in, A. A. Kuleshov, “Integral identity definition of a generalized solution in the class $L_p$ to a mixed problem for the wave equation”, Dokl. Math., 86:3 (2012), 770–773             6. V. A. Il'in, A. A. Kuleshov, “Generalized solutions of the wave equation in the classes $L_p$ and $W_p^1$ with $p\ge 1$”, Dokl. Math., 86:2 (2012), 657–660             7. V. A. Il'in, A. A. Kuleshov, “On some properties of generalized solutions of the wave equation in the classes $L_p$ and $W_p^1$ for $p\ge 1$”, Differ. Equ., 48:11 (2012), 1470–1476             8. V. A. Il'in, A. A. Kuleshov, “Necessary and sufficient condition for the generalized solution of a mixed problem for the wave equation to belong to the class $L_p$ for $p\ge 1$”, Differ. Equ., 48:12 (2012), 1572–1576             9. V. A. Ilin, “Optimizatsiya proizvodimogo smescheniem granichnogo upravleniya kolebaniyami sterzhnya, sostoyaschego iz dvukh raznorodnykh uchastkov”, Differents. uravneniya, 47:7 (2011), 978–986       3 10. V. A. Il'in, “On the complete damping of oscillations of an inhomogeneous rod by means of a boundary control at one end”, Proc. Inst. Math. Mech., 276, suppl. 1 (2012), S97–S105           11. V. A. Il'in, “Optimization scheme for boundary control by displacements at two ends of oscillations of a rod consisting of two dissimilar segments”, Dokl. Math., 84:3 (2011), 854–856             12. V. A. Il'in, “Optimization of elasticity-induced boundary control for the vibrations of a rod consisting of two different segments”, Dokl. Math., 84:2 (2011), 706–710             13. V. A. Il'in, “Boundary control optimization for the vibrations of a rod consisting of two different segments”, Dokl. Math., 84:2 (2011), 629–633             14. V. A. Il'in, “A terminal–boundary value problem that describes the process of damping the vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical wave travel times”, Proc. Steklov Inst. Math., 269 (2010), 127–136                   15. V. A. Il'in, “Optimization of the boundary control by a displacement or by an elastic force on one end of a string under a model nonlocal boundary condition”, Proc. Steklov Inst. Math., 268 (2010), 117–129                   16. V. A. Il'in, “Reduction of the vibrations of an initially stationary rod consisting of two different segments to an arbitrary state”, Dokl. Math., 82:3 (2010), 955–958             17. V. A. Il'in, “Optimization of boundary control at one end of a string in the presence of a model nonlocal condition”, Autom. Remote Control, 70:4 (2009), 566–576                 18. V. A. Il'in, “A d'Alembert-type formula for longitudinal oscillations of an infinite rod consisting of two segments with different densities and elasticities”, Dokl. Math., 80:1 (2009), 613–615               19. V. A. Il'in, “d'Alembert-type formula for transverse oscillations of an infinite rod consisting of two segments with different densities”, Dokl. Math., 80:1 (2009), 624–626               20. V. A. Il'in, P. V. Luferenko, “Mixed problems describing longitudinal oscillations of a rod consisting of two segments with different densities and different elasticities but equal impedances”, Dokl. Math., 80:2 (2009), 642–645           21. V. A. Il'in, P. V. Luferenko, “Generalized solutions of initial-boundary value problems for a discontinuous wave equation in the case of equal impedances”, Dokl. Math., 80:3 (2009), 901–905               22. V. A. Il'in, P. V. Luferenko, “An analytic form of optimal boundary controls of longitudinal oscillations of a rod consisting of two fragments with different densities and elasticities but equal impedances”, Dokl. Math., 80:3 (2009), 906–909             23. V. A. Il'in, “Longitudinal vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical travel times on each segment”, Dokl. Math., 80:3 (2009), 910–913               24. V. A. Il'in, “Boundary control by an elastic force at one endpoint of the string in the presence of a model nonlocal boundary condition of one of four types, and its optimization”, Differ. Equ., 45:4 (2009), 602–611             25. Il'in V. A., “Uniqueness of generalized solutions of mixed problems for the wave equation with nonlocal boundary conditions”, Differ. Uravn., 44:5 (2008), 672–680, 719     26. Il'in V. A., “Optimization of a boundary control by an elastic force at one end of a string with a model nonlocal boundary condition of one of four types”, Dokl. Akad. Nauk, 420:4 (2008), 442–446       1 [x] 27. Il'in V. A., “Independence of optimal boundary controls of string vibrations from the choice of coordination point of the initial and final conditions”, Dokl. Akad. Nauk, 420:1 (2008), 18–21       28. Il'in V. A., “An analytical form of an optimal boundary control by displacement at one end of a string with a model nonlocal boundary condition of one of four types”, Dokl. Akad. Nauk, 420:3 (2008), 309–313       1 [x] 29. Il'in V. A., “Uniqueness theorems for generalized solutions of four mixed problems for the wave equation with nonlocal boundary conditions”, Dokl. Akad. Nauk, 420:2 (2008), 162–165       30. Differ. Equ., 44:3 (2008), 401–407           31. Il'in V. A., Moiseev E. I., “Optimization of control by elastic boundary forces at two ends of a string in an arbitrary sufficiently large time interval”, Differ. Uravn., 44:1 (2008), 89–110, 143     32. Differ. Equ., 44:11 (2008), 1548–1558           33. V. A. Il'in, E. I. Moiseev, “Optimization of the boundary control by shift or elastic force at one end of string in a sufficiently long arbitrary time”, Autom. Remote Control, 69:3 (2008), 354–362                 34. Il'in V. A., Moiseev E. I., “Optimization of control by elastic boundary forces at two ends of a string over an arbitrary sufficiently large time interval $T$”, Dokl. Akad. Nauk, 417:4 (2007), 456–463       35. Il'in V. A., Moiseev E. I., “Optimization of a control by an elastic boundary force at one end of a string with the other end free over an arbitrary sufficiently long time interval $T$”, Dokl. Akad. Nauk, 417:3 (2007), 308–312       36. Il'in V. A., Moiseev E. I., “Optimization of a boundary control by displacement at one end of a string when the second end is free for an arbitrary sufficiently long time period”, Dokl. Akad. Nauk, 417:1 (2007), 12–17       37. Il'in V. A., Moiseev E. I., “Optimization of boundary controls by displacement at two ends of a string over an arbitrary sufficiently long time interval”, Dokl. Akad. Nauk, 417:2 (2007), 160–166       1 [x] 38. Il'in V. A., Moiseev E. I., “Optimization of a boundary control by an elastic force at one end of a string, based on finding the minimum of the integral of the modulus of an elastic force raised to an arbitrary power $p\geq 1$”, Dokl. Akad. Nauk, 412:6 (2007), 732–735       39. Differ. Equ., 43:12 (2007), 1697–1704           40. Differ. Equ., 43:11 (2007), 1569–1584           41. Il'in V. A., Moiseev E. I., “Optimal boundary control of vibrations at one endpoint of a string when the second endpoint is free”, Nonlinear dynamics and control. No. 4, Comput. Math. Model., 18:4 (2007), 332–343         42. Il'in V. A., Moiseev E. I., “Optimal boundary control by the displacement of one end of a string while the other end is free over a sufficiently large time interval”, Differ. Uravn., 43:10 (2007), 1369–1381, 1438     43. V. A. Il'in, E. I. Moiseev, “Boundary control of string vibrations that minimizes the integral of power $p\ge1$ of the module of control or its derivative”, Autom. Remote Control, 68:2 (2007), 313–319             44. V. A. Il'in, L. V. Kritskov, “Properties of spectral expansions corresponding to non-self-adjoint differential operators”, J. Math. Sci. (N. Y.), 116:5 (2003), 3489–3550         45. Il'in V. A., Moiseev E. I., “Optimization of a boundary control by a displacement at one end of a string, based on finding the minimum of the integral of the modulus of the derivative of the displacement raised to an arbitrary power $p\geq 1$”, Dokl. Akad. Nauk, 411:6 (2006), 736–740       46. Differ. Equ., 42:12 (2006), 1775–1786             47. Differ. Equ., 42:11 (2006), 1633–1644             48. Moscow Univ. Comput. Math. Cybernet., 2006, no. 3, 1–13     49. V. D. Koshur, V. A. Il'in, Proceedings of the Third All-Russian Scientific Conference (29–31 May 2006). Part 4, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2006, 60–63   50. Differ. Equ., 41:1 (2005), 110–120             51. Il'in V. A., Moiseev E. I., “Optimization of the boundary control of an elastic force at one end of a string with the other end free”, Dokl. Akad. Nauk, 402:1 (2005), 20–24       1 [x] 52. Il'in V. A., Moiseev E. I., “Optimization of the combined boundary control of the oscillations of a string—an elastic force at one end and a displacement at the other end”, Dokl. Akad. Nauk, 402:5 (2005), 590–595       1 [x] 53. Il'in V. A., Moiseev E. I., “Optimization of the boundary control of an elastic force at two ends of a string”, Dokl. Akad. Nauk, 402:2 (2005), 163–169       1 [x] 54. Il'in V. A., “Optimal boundary control of elastic force at one end of a string with the other end fixed, and the corresponding distribution of the total energy of the string”, Dokl. Akad. Nauk, 400:6 (2005), 731–735     3 [x] 55. Il'in V. A., Moiseev E. I., “Optimal boundary control of displacement at two ends, and the corresponding distribution of the total energy of the string”, Dokl. Akad. Nauk, 400:1 (2005), 16–20     1 [x] 56. Il'in V. A., Moiseev E. I., “Optimal boundary control of displacement at one end of a string with the second end fixed, and the corresponding total energy of the string”, Dokl. Akad. Nauk, 400:5 (2005), 587–591     3 [x] 57. V. A. Il'in, E. I. Moiseev, “Optimization of boundary controls of string vibrations”, Russian Math. Surveys, 60:6 (2005), 1093–1119                     58. V. A. Il'in, “Optimization of the Boundary Control of an Elastic Force at One Endpoint of a String with the Other Endpoint Fixed”, Proc. Steklov Inst. Math., 248 (2005), 111–117       59. Il'in V. A., Moiseev E. I., “Optimal boundary control of displacement at one end of a string with the second end fixed, and the corresponding distribution of the total energy of the string”, Dokl. Akad. Nauk, 399:6 (2004), 727–731     1 [x] 60. Il'in V. A., Moiseev E. I., “Boundary control at two endpoints of a process described by the telegraph equation”, Dokl. Akad. Nauk, 394:2 (2004), 154–158       7 [x] 61. Gulin A. V., Dmitriev V. I., Il'in V. A., Il'inskiĭ A. S., Nikolaev E. S., “On the works of Aleksandr Andreevich Samarskiĭ”, Selected works of A. A. Samarskiĭ (Russian), MAKS Press, Moscow, 2003, iii–vi   62. Il'in V. A., Moiseev E. I., “Boundary control of radially symmetric oscillations of a round membrane”, Dokl. Akad. Nauk, 393:6 (2003), 730–734     5 [x] 63. V. A. Il'in, “A boundary control of spherically symmetric oscillations of a ball under the condition of the existence of finite energy”, Dokl. Math., 68:2 (2003), 211–215         64. J. Math. Sci. (N. Y.), 114:4 (2003), 1461–1472     65. Il'in V. A., Moiseev E. I., “Boundary control at one endpoint of a process described by a telegraph equation”, Dokl. Akad. Nauk, 387:5 (2002), 600–603       7 [x] 66. Il'in V. A., “On the boundary control of a process described by the equation $k(x)[k(x)u\sb x(x,t)]\sb x-u\sb {tt}(x,t)=0$”, Dokl. Akad. Nauk, 386:2 (2002), 156–159       5 [x] 67. Il'in V. A., “Boundary control of the vibrations of a string at two endpoints under the condition of the existence of finite energy”, Dokl. Akad. Nauk, 376:3 (2001), 295–299       2 [x] 68. Il'in V. A., “Boundary control of a string oscillating at one end, with the other end fixed and under the condition of the existence of finite energy”, Dokl. Akad. Nauk, 378:6 (2001), 743–747       6 [x] 69. V. A. Il'in, “Boundary Control of Spherically Symmetric Oscillations of a Three-Dimensional Ball”, Proc. Steklov Inst. Math., 232 (2001), 138–149       70. Differ. Equ., 36:11 (2000), 1659–1675             71. Differ. Equ., 36:12 (2000), 1832–1849             72. Differ. Equ., 36:5 (2000), 728–733             73. Program. Comput. Software, 26:1 (2000), 39–41         74. Differential Equations, 35:12 (1999), 1665–1682 (2000)         75. Differential Equations, 35:11 (1999), 1535–1552 (2000)         76. Il'in V. A., “Boundary control of the vibration process on one end with the other end clamped”, Dokl. Akad. Nauk, 369:6 (1999), 732–735         2 [x] 77. Il'in V. A., “Boundary control of the oscillation process at two ends”, Dokl. Akad. Nauk, 369:5 (1999), 592–596         5 [x] 78. Differential Equations, 35:5 (1999), 697–708         79. Differential Equations, 35:2 (1999), 187–198         80. Differential Equations, 34:5 (1998), 639–646         81. Differential Equations, 34:3 (1998), 358–368         82. Differential Equations, 33:3 (1997), 321–325         83. Il'in V. A., “How to express basis conditions and conditions for the equiconvergence with trigonometric series of expansions related to non-self-adjoint differential operators”, Computational tools of complex systems, II, Comput. Math. Appl., 34:5-6 (1997), 641–647         12 [x] 84. Il'in V. A., Kritskov L. V., “Some properties of spectral expansions related to the one-dimensional Stark effect Hamiltonian”, Computational tools of complex systems, II, Comput. Math. Appl., 34:5-6 (1997), 633–640           85. Antoniou I., Il'in V. A., “The uniform over the whole line $\mathbf R$ estimates of spectral expansions related to the selfadjoint extensions of the Hill operator and of the Schrödinger operator with a bounded and measurable potential”, Computational tools of complex systems, II, Comput. Math. Appl., 34:5-6 (1997), 627–632           86. V. A. Il'in, “One More Generalization of Bessel's Inequality and Riesz–Fischer Theorem for Fourier Series with Respect to Uniformly Bounded Orthonormal Systems”, Proc. Steklov Inst. Math., 219 (1997), 205–214       87. Il'in V. A., Moiseev E. I., “An order-sharp estimate that is uniform in $R\sp N$ for $N=2$ and $N=3$ for the increment with respect to the spectral parameter taken on the diagonal of the spectral function for the Schrödinger operator with a potential satisfying the Kato condition”, Dokl. Akad. Nauk, 349:2 (1996), 159–161         88. Differential Equations, 32:4 (1996), 437–441         89. Differential Equations, 32:3 (1996), 364–379         90. Differential Equations, 32:1 (1996), 32–37         91. Differential Equations, 31:11 (1995), 1796–1809 (1996)         92. Differential Equations, 31:10 (1995), 1613–1621 (1996)         93. Differential Equations, 31:9 (1995), 1409–1418 (1996)         94. Differential Equations, 31:12 (1995), 1927–1937 (1996)         95. Differential Equations, 31:8 (1995), 1267–1274 (1996)         96. Differential Equations, 31:8 (1995), 1253–1266 (1996)         97. Il'in V. A., Spectral theory of differential operators, Self-adjoint differential operators; Translated from the Russian, Consultants Bureau, New York, 1995 , xviii+390 pp.     98. Differential Equations, 30:9 (1994), 1402–1413 (1995)         99. Differential Equations, 30:1 (1994), 119–132         100. Russian Acad. Sci. Dokl. Math., 48:3 (1994), 445–448         101. V. A. Il'in, E. I. Moiseev, “On the systems consisting of subsets of root function of two distinct boundary value problems”, Proc. Steklov Inst. Math., 201 (1994), 183–192       102. Il'in V. A., Spektralnaya teoriya differentsialnykh operatorov, Samosopryazhennye differentsialnye operatory. [Selfadjoint differential operators], “Nauka”, Moscow, 1991 , 368 pp.     103. Differential Equations, 27:11 (1991), 1307–1321 (1992)           104. Soviet Math. Dokl., 44:1 (1992), 141–144         105. Il'in V., Pozniak E., Fundamentos del análisis matemático. 3, Translated from the Russian by K. P. Medkov, Editorial Mir, Moscow, 1991 , 471 pp.   106. Il'in V., Pozniak E., Fundamentos del análisis matemático. 2, Translated from the Russian by M. Andrianova and K. Medkov, Editorial Mir, Moscow, 1991 , 311 pp.   107. Il'in V., Pozniak E., Fundamentos del análisis matemático. 1, Translated from the Russian by M. Andrianova, Editorial Mir, Moscow, 1991 , 326 pp.   108. Il'in V. A., Moiseev E. I., “A mean-value formula for root functions of the Schrödinger operator”, Differentsial'nye Uravneniya, 27:4 (1991), 702–705, 735         109. Differential Equations, 27:4 (1991), 401–416         110. Soviet Math. Dokl., 43:2 (1991), 320–324         111. Barnovská M., Il'in B. A., “On the order of equiconvergence almost everywhere of Riesz means of nonselfadjoint extensions of the Laplace operator”, Math. Slovaca, 41:2 (1991), 205–222     112. P. A. Baikov, V. A. Il'in, “Status of $\gamma^5$ in dimensional regularization”, Theoret. and Math. Phys., 88:2 (1991), 789–809             113. Soviet Math. Dokl., 42:2 (1991), 292–295         114. Differential Equations, 26:12 (1990), 1564–1567 (1991)         115. V. A. Il'in, A. I. Zhilayev, V. V. Tikhomirov, “On solving eiconal equation in vertically non-homogeneous strata”, Matem. Mod., 2:10 (1990), 141–156       116. V. A. Il'in, E. I. Moiseev, “2-D Nonlocal boundary value problem for Poisson's operator in differential and difference variants”, Matem. Mod., 2:8 (1990), 139–156       117. Differential Equations, 25:12 (1989), 1518–1527 (1990)       118. Differential Equations, 25:11 (1989), 1383–1394 (1990)       119. Ilyin V. A., Kryukov A. P., ““DIMREG”: the package for calculations in the dimensional regularization with 4-dimensional $\gamma^5$-matrix in quantum field theory”, EUROCAL '87 (Leipzig, 1987), Lecture Notes in Comput. Sci., 378, Springer, Berlin, 1989, 225–232           120. Il'in V. A., Io I., “An inequality of Hausdorff-Young type for eigenfunctions of the Laplace operator in a three-dimensional domain”, Ann. Univ. Sci. Budapest. Eötvös Sect. Math., 31 (1988), 95–101 (1989)     121. Differential Equations, 24:5 (1988), 565–572       122. Differential Equations, 24:5 (1988), 519–526         123. Il'in V. A., Sadovnichiĭ V. A., Sendov Bl. Kh., Matematicheskii analiz. 2, Prodolzhenie kursa. [Continuation of the course], Moskov. Gos. Univ., Moscow, 1987 , 358 pp.   124. Il'in V. A., {\u{I}}o I., “An inequality of Bessel type for the system of eigenfunctions of a nonselfadjoint Laplace operator”, Ann. Univ. Sci. Budapest. Eötvös Sect. Math., 30 (1987), 171–176     125. Il'in V. A., Moiseev E. I., “A nonlocal boundary value problem of the second kind for the Sturm-Liouville operator”, Differentsial'nye Uravneniya, 23:8 (1987), 1422–1431, 1471       6 [x] 126. Il'in V. A., Moiseev E. I., “A nonlocal boundary value problem of the first kind for the Sturm-Liouville operator in differential and difference interpretations”, Differentsial'nye Uravneniya, 23:7 (1987), 1198–1207       4 [x] 127. A. V. Bitsadze, V. S. Vinogradov, A. A. Dezin, V. A. Il'in, “Partial differential equations”, Proc. Steklov Inst. Math., 176 (1988), 263–300       128. Il'in V. A., Moiseev E. I., “The Sturm-Liouville operator with a nonlocal boundary condition of the second kind”, Dokl. Akad. Nauk SSSR, 294:6 (1987), 1340–1345         1 [x] 129. Ilyin V. A., Poznyak È. G., Linear algebra, Translated from the Russian by Irene Aleksanova, “Mir”, Moscow, 1986 , 285 pp.     130. Il'in V. A., “Necessary and sufficient conditions for being a Riesz basis of root vectors of second-order discontinuous operators”, Differentsial'nye Uravneniya, 22:12 (1986), 2059–2071, 2203       14 [x] 131. Il'in V. A., “An inequality of Hilbert type for a system of eigenfunctions of the Laplace operator for a nonzero radial function in a ball of sufficiently small radius”, Dokl. Akad. Nauk SSSR, 291:6 (1986), 1292–1296         1 [x] 132. Il'in V. A., Moiseev E. I., “A nonlocal boundary value problem for the Sturm-Liouville operator in a differential and a difference treatment”, Dokl. Akad. Nauk SSSR, 291:3 (1986), 534–539         19 [x] 133. Il'in V. A., {\u{I}}o I., “Inequalities of Bessel and Hausdorff-Young-Riesz type for functions from a class of functions that are radial in a system of eigenfunctions of the Laplace operator”, Dokl. Akad. Nauk SSSR, 291:2 (1986), 284–288         134. Il'in V. A., “On the occasion of the eightieth birthday of academician A. N. Tikhonov”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1986, no. 3, 4–8   135. V. A. Il'in, I. Jo, “Inequalities of Bessel and Hausdorff–Young–Riesz type for functions from a class of functions that are radial in a system of eigenfunctions of the Laplace operator”, Dokl. Akad. Nauk SSSR, 291:2 (1986), 284–288       136. Il'in V. A., Sadovnichiĭ V. A., Sendov Bl. Kh., Matematicheskii analiz. 1, Nachalhi kurs. [First course]; Edited and with a preface by A. N. Tikhonov, Ed. 2, Moskov. Gos. Univ., Moscow, 1985 , 663 pp.   137. Il'in V. A., {\u{I}}o I., “A theorem on equiconvergence with a trigonometric series for Fourier series in eigenfunctions of the one-dimensional Schrödinger operator”, Dokl. AN SSSR, 285:2 (1985), 274–277         138. Barnovská M., Il'in V. A., “The Riesz basis of a spectral problem with eigenvalues of infinite multiplicity”, Math. Slovaca, 35:2 (1985), 161–167     139. Il'in V. A., “A necessary condition for equiconvergence of the trigonometric series and of a spectral expansion for an arbitrary integrable function”, Differents. uravneniya, 21:3 (1985), 371–379, 546       1 [x] 140. V. A. Il'in, A. E. Pukhov, “Quantization of finite-dimensional gauge theories with indefinite metrics”, Theoret. and Math. Phys., 64:3 (1985), 926–932             141. V. A. Il'in, I. Jo, “A theorem on equiconvergence with a trigonometric series for Fourier series in eigenfunctions of the one-dimensional Schrödinger operator”, Dokl. Akad. Nauk SSSR, 285:2 (1985), 274–277       142. Il'in V. A., Kapustin N. Yu., “Convergence of spectral expansions that correspond to nonsemibounded selfadjoint extensions of the Laplace operator”, Current problems in mathematical physics and numerical mathematics, “Nauka”, Moscow, 1984, 105–115, 213   143. Il'in V. A., Poznyak È. G., Lineinaya algebra, Ed. 3, {\cyr Kurs Vyssheĭ Matematiki i Matematicheskoĭ Fiziki} [Course in Higher Mathematics and Mathematical Physics], 6, “Nauka”, Moscow, 1984 , 295 pp.   144. Il'in V. A., “On the absolute and uniform convergence of the expansions in eigen- and associated functions of a nonselfadjoint elliptic operator”, Dokl. AN SSSR, 274:1 (1984), 19–22         2 [x] 145. Il'in V. A., “Spectral theory of differential operators”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 427–443   146. Dezin A. A., Il'in V. A., “Partial differential equations”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 305–354   147. Il'in V. A., “Necessary and sufficient conditions for being a basis in $L_p$ and equiconvergence with a trigonometric series of spectral expansions and expansions in systems of exponentials”, Dokl. AN SSSR, 273:4 (1983), 789–793         10 [x] 148. Il'in V. A., “Unconditional basis property on a closed interval of systems of eigen- and associated functions of a second-order differential operator”, Dokl. AN SSSR, 273:5 (1983), 1048–1053         6 [x] 149. V. A. Il'in, E. I. Moiseev, “Order-accurate estimates for the maxima of the moduli of eigenfunctions and associated functions of an elliptic operator”, Math. Notes, 34:5 (1983), 833–838             150. Il'in V. A., Tikhomirov V. V., “The basis property of Riesz means of spectral decompositions corresponding to an $n$th-order ordinary nonselfadjoint differential operator”, Differents. uravneniya, 18:12 (1982), 2098–2126, 2207     1 [x] 151. Ilyin V. A., Poznyak È. G., Fundamentals of mathematical analysis. Part 2, Translated from the Russian by Vladimir Shokurov, “Mir”, Moscow, 1982 , 438 pp.   152. Ilyin V. A., Poznyak È. G., Fundamentals of mathematical analysis. Part 1, Translated from the Russian by Irene Aleksanova, “Mir”, Moscow, 1982 , 637 pp.   153. Il'in V. A., “Relations that are exact with respect to order between $L_2$-norms of eigen- and associated functions of a second-order elliptic operator”, Differents. uravneniya, 18:1 (1982), 30–37, 179       154. V. A. Il'in, M. S. Imashev, D. A. Slavnov, “A renormalization procedure recursive with respect to the number of loops”, Theoret. and Math. Phys., 52:2 (1982), 733–739             155. Il'in V. A., Moiseev E. I., “Estimates of anti a priori-type that are sharp with respect to order for the eigen- and associated functions of the Schrödinger operator”, Differents. uravneniya, 17:10 (1981), 1859–1867, 1918–1919     156. Il'in V. A., Moiseev E. I., “A mean value formula for the associated functions of the Laplace operator”, Differents. uravneniya, 17:10 (1981), 1908–1910, 1920       4 [x] 157. V. A. Ilin, “Necessary and sufficient conditions for spatial decompositions to be bases and to be equiconvergent with a trigonometric series. II”, Differents. uravneniya, 16:6 (1980), 980–1009, 1146       8 [x] 158. V. A. Ilin, “Necessary and sufficient conditions for spatial decompositions to be bases and to be equiconvergent with a trigonometric series. I”, Differents. uravneniya, 16:5 (1980), 771–794, 955       8 [x] 159. V. A. Il'in, D. A. Slavnov, “$S$ matrix with nonlocal classical sources”, Theoret. and Math. Phys., 43:1 (1980), 307–312             160. Il'in V. A., {\u{I}}o I., “Estimation of the difference of partial sums of expansions corresponding to two arbitrary nonnegative selfadjoint extensions of two operators of Sturm-Liouville”, Differents. uravneniya, 15:7 (1979), 1175–1193, 1340       1 [x] 161. Il'in V. A., {\u{I}}o I., “Uniform estimation of eigenfunctions and an upper bound on the number of eigenvalues of the Sturm-Liouville operator with a potential from the class $L\sp{P}$”, Differents. uravneniya, 15:7 (1979), 1164–1174, 1340       4 [x] 162. Il'in V. A., Sadovničiĭ V. A., Sendov Bl. H., Matematicheskii analiz, “Nauka”, Moscow, 1979 , 719 pp.   163. Il'in V. A., “Local nets of algebras of observables for a free scalar charged field”, Vestnik Moskov. Univ. Ser. III Fiz. Astronom., 20:2 (1979), 16–25, 81   164. V. A. Ilin, I. Io, “Estimation of the difference of partial sums of expansions corresponding to two arbitrary nonnegative selfadjoint extensions of two operators of Sturm-Liouville”, Dokl. AN SSSR, 243:6 (1978), 1381–1383         165. V. A. Ilin, I. Io, “Ravnomernaya otsenka sobstvennykh funktsii i otsenka sverkhu chisla sobstvennykh znachenii operatora Shturma–Liuvillya”, Dokl. AN SSSR, 243:5 (1978), 1113–1115         1 [x] 166. V. A. Il'in, D. A. Slavnov, “Algebras of observables in the $S$-matrix approach”, Theoret. and Math. Phys., 36:1 (1978), 578–585           167. V. A. Ilin, “Approximation of functions by bi-orthogonal series in the eigen- and associated functions of differential operators”, The theory of the approximation of functions, Proc. Internat. Conf. (Kaluga, 1975), Nauka, M., 1977, 206–213   168. V. A. Ilin., E. I. Moiseev, “A generalization of the mean value formula for the regular solution of the Schrödinger equation”, Problems in mathematical physics and numerical mathematics, Nauka, M., 1977, 157–166, 325   169. V. A. Il'in, “Convergence of eigenfunction expansions at points of discontinuity of the coefficients of a differential operator”, Math. Notes, 22:5 (1977), 870–882           170. Sh. A. Alimov, V. A. Il'in, E. M. Nikishin, “Problems of convergence of multiple trigonometric series and spectral decompositions. II”, Russian Math. Surveys, 32:1 (1977), 115–139             171. V. A. Il'in, “Existence of a reduced system of eigen- and associated functions for a nonselfadjoint ordinary differential operator”, Proc. Steklov Inst. Math., 142 (1979), 157–164       172. V. A. Ilin, “The properties of a reduced subsystem of eigen- and associated functions of an M. V. Keldyš pencil of ordinary differential operators”, Dokl. AN SSSR, 230:1 (1976), 30–33         2 [x] 173. V. A. Ilin, “Necessary and sufficient conditions for a subsystem of the eigen- and associated functions of an M. V. Keldyš pencil of ordinary differential operators to be a basis”, Dokl. AN SSSR, 227:4 (1976), 796–799         6 [x] 174. Sh. A. Alimov, V. A. Il'in, E. M. Nikishin, “Convergence problems of multiple trigonometric series and spectral decompositions. I”, Russian Math. Surveys, 31:6 (1976), 29–86             175. V. A. Ilin, “The equiconvergence of expansions in a trigonometric Fourier series and in the eigenfunctions of M. V. Keldyš's pencil of nonselfadjoint ordinary differential operators”, Dokl. AN SSSR, 225:3 (1975), 497–499         4 [x] 176. V. A. Ilin, “The uniform equiconvergence of expansions in the eigen- and associated functions of a nonselfadjoint ordinary differential operator and in a trigonometric Fourier series”, Dokl. AN SSSR, 223:3 (1975), 548–551         5 [x] 177. V. A. Ilin, “A theorem on the uniqueness and membership in the class $W_2^1$ of the classical solution of a mixed problem for a nonselfadjoint hyperbolic equation in an arbitrary cylinder”, Differents. uravneniya, 11 (1975), 60–65, 202     3 [x] 178. V. A. Il'in, “Proof of uniqueness and membership in $W^1_2$ of the classical solution of a mixed problem for a self-adjoint hyperbolic equation”, Math. Notes, 17:1 (1975), 53–58           179. V. A. Ilin, Sh. A. Alimov., “Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. V. A theorem on the uniform convergence of the spectral decomposition for a general second order elliptic operator”, Differents. uravneniya, 10 (1974), 481–506, 572       1 [x] 180. V. A. Ilin, E. G. Poznyak, Lineinaya algebra, Kurs vysshei matematiki i matematicheskoi fiziki. 6, Nauka, M., 1974 , 296 pp.   181. V. A. Ilin, N. M. Krukovskii, “A theorem on the coincidence of the classical solution of the Dirichlet problem for a nonselfadjoint elliptic equation with the generalized solution of this problem”, Differents. uravneniya, 10 (1974), 699–711, 766       182. V. A. Il'in, “Some properties of a regular solution of the Helmholtz equation in a two-dimensional domain”, Math. Notes, 15:6 (1974), 529–532           183. V. A. Ilin, “Conditions for the convergence of spectral decompositions that correspond to selfadjoint extensions of elliptic operators. IV. Theorems of negative type for an arbitrary extension of a general second order selfadjoint elliptic operator”, All-Union Symposium on Selected Questions of Partial Differential Equations (Prièlbrus, 1972), Differents. uravneniya, 9, 1973, 49–73, 194       3 [x] 184. V. A. Il'in, “Some questions in the spectral theory of elliptic operators”, Math. Notes, 12:4 (1972), 727–732           185. V. A. Ilin, “Negative solution for $p\ne 2$ of the problem of the convergence of the spectral decomposition in the $L_p^\infty$ metric for a compactly supported function of the class $L_p^\infty$”, Dokl. AN SSSR, 205 (1972), 1286–1288         186. V. A. Ilin, Sh. A. Alimov, “The divergence on a set of positive measure of the Riesz means of kernels of fractional order”, Differents. uravneniya, 8 (1972), 372–373       1 [x] 187. V. A. Ilin, Sh. A. Alimov, “Letter to the editors”, Differents. uravneniya, 8 (1972), 190       188. Sh. A. Alimov, V. A. Ilin, “The divergence in $L_p$ of the Riesz means of spectral expansions”, Differents. uravneniya, 8 (1972), 1092–1094       2 [x] 189. V. A. Il'in, “The Riesz equisummability of expansions in eigenfunctions and in the $n$-dimensional Fourier integral”, Proc. Steklov Inst. Math., 128 (1972), 177–189       190. Il'ine V. A., “Développements en fonctions propres des extensions arbitraires autoadjointes non-négatives de quelques opérateurs elliptiques”, Actes du Congrès International des Mathématiciens (Nice, 1970), Gauthier-Villars, Paris, 1971, 745–753   191. V. A. Ilin, E. I. Moiseev, “The spectral expansions that correspond to an arbitrary second order nonnegative selfadjoint elliptic operator”, Dokl. AN SSSR, 197 (1971), 770–772         2 [x] 192. V. A. Ilin, E. G. Poznyak, Osnovy matematicheskogo analiza. Chast 1, Kurs vysshei matematiki i matematicheskoi fiziki. 1, 3-e izd., Nauka, M., 1971 , 599 pp.   193. V. A. Ilin, “On the question of the equiconvergence of eigenfunction expansions and of expansions in an $n$-fold Fourier integral”, Dokl. AN SSSR, 198 (1971), 751–754         194. V. A. Ilin, “Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. III. Best possible local estimates of Riesz means of an arbitrary function from the class $L_2(G)$ for a self-adjoint extension of the Laplace operator”, Differents. uravneniya, 7 (1971), 1036–1041       1 [x] 195. Sh. A. Alimov, V. A. Ilin, “Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. II. Self-adjoint extension of the Laplace operator with an arbitrary spectrum”, Differents. uravneniya, 7 (1971), 851–882       5 [x] 196. V. A. Ilin, “Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. I. Self-adjoint extension of the Laplace operator with a point spectrum”, Differents. uravneniya, 7 (1971), 670–710       12 [x] 197. V. A. Ilin, “Exact conditions for the localization and convergence of Fourier series in fundamental function systems of the Beltrami operator”, Dokl. AN SSSR, 191 (1970), 20–21         198. R. A. Aleksandryan, Yu. M. Berezanskii, V. A. Ilin, A. G. Kostyuchenko, “Certain questions of the spectral theory for partial differential equations”, Partial differential equations, Proc. Sympos. dedicated to the 60th birthday of S. L. Sobolev, Nauka, M., 1970, 3–35   199. V. Il'iner, Ch. Alimov, “Conditions exactes de convergence uniforme des développements spectraux et de leurs moyennes de Riesz pour une extension autoadjointe arbitraire non-négative de l'opérateur de Laplace”, C. R. Acad. Sci. Paris Sér. A-B, 271 (1970), A461–A464   200. Sh. A. Alimov, V. A. Ilin, “Spectral decompositions corresponding to an arbitrary nonnegative selfadjoint extension of Laplace's operator”, Dokl. AN SSSR, 193 (1970), 9–12         1 [x] 201. V. A. Ilin, “A generalized principle of localization for the Riesz means that correspond to an arbitrary selfadjoint nonnegative extension of the Laplace operator”, Differents. uravneniya, 6 (1970), 1159–1169       202. V. A. Ilin, “A generalized principle of localization for the Riesz means of a Fourier series in an arbitrary fundamental system of functions of the Laplace operator with discrete spectrum”, Differents. uravneniya, 6 (1970), 1143–1158       203. V. A. Ilin, Sh. A. Alimov., “Conditions for uniform Riesz summability, of Fourier series in an arbitrary fundamental function system of Laplace's operator, that are best possible in the classes of Solobev, Nikol'skiĭ, Besov, Liouville and Zygmund-Hölder”, Dokl. AN SSSR, 193 (1970), 276–279         204. V. A. Il'in, “Properties of spectra of nonnegative self-adjoint extensions of elliptic operators and exact conditions for the convergence and Riesz summability of Fourier series of various classes of functions”, Math. Notes, 7:4 (1970), 312–316           205. V. A. Ilin, A. F. Filippov., “The character of the spectrum of a selfadjoint extension of the Laplace operator in a bounded region (fundamental systems of functions with an arbitrary preassigned subsequence of fundamental numbers)”, Dokl. AN SSSR, 191 (1970), 267–269         5 [x] 206. A. A. Arsenev, V. A. Ilin, “A mean value formula for the fundamental functions of the Beltrami operator, and a precise estimate of the sum of the squares of the fundamental functions”, Dokl. AN SSSR, 190 (1970), 1263–1266         207. V. A. Ilin, “A lower bound of the sum of the squares of the fundamental functions, and of the number of the fundamental values, for an arbitrary $FSF$ of Laplace's operator”, Differents. uravneniya, 6 (1970), 7–16       208. V. A. Il'in, “Conditions for the localization of partial sums of S. M. Nikol'skii's class of multiple trigonometric Fourier series”, Math. Notes, 8:5 (1970), 803–809           209. V. A. Ilin, I. A. Shishmarev, “Ryady Fure po fundamentalnym sistemam funktsii poligarmonicheskogo operatora”, Dokl. AN SSSR, 189:4 (1969), 707–709       1 [x] 210. V. A. Ilin, “Fourier series in fundamental systems of functions of the Beltrami operator”, Differents. ravneniya, 5 (1969), 1940–1978       5 [x] 211. V. A. Ilin, “A localization principle for almost the whole sequence of partial sums of a Fourier series in a fundamental system of functions”, Dokl. AN SSSR, 184 (1969), 20–23         212. V. A. Il'in, Differ. Uravn., 5:11 (1969), 1940–1978       213. V. A. Il'in, “Generalized interpretation of the principle of localization for Fourier series in fundamental function systems”, Siberian Math. J., 9:5 (1968), 812–820             214. V. A. Il'in, “Problems of localization and convergence for Fourier series in fundamental systems of functions of the Laplace operator”, Russian Math. Surveys, 23:2 (1968), 59–116           215. V. A. Ilin, “Ischerpyvayuschee v klassakh $W_2^\alpha$ i $C^{(n,\alpha)}$ reshenie problemy lokalizatsii dlya ryadov Fure po fundamentalnym sistemam funktsii operatora Laplasa”, Dokl. AN SSSR, 177:2 (1967), 258–260         2 [x] 216. V. A. Ilin, “O fundamentalnykh sistemakh funktsii operatora Laplasa v proizvolnoi oblasti i ob asimptoticheskoi otsenke fundamentalnykh chisel”, Dokl. AN SSSR, 177:1 (1967), 25–28       1 [x] 217. V. A. Ilin, “Ryady Fure po sobstvennym funktsiyam mnogomernykh oblastei, raskhodyaschiesya pochti vsyudu”, Dokl. AN SSSR, 170:2 (1966), 257–260         4 [x] 218. V. A. Ilin, “O summiruemosti ryadov Fure po sobstvennym funktsiyam srednimi Rissa, Chezaro i Puassona–Abelya”, Differents. uravneniya, 2:6 (1966), 816–827       2 [x] 219. V. A. Il'in, “Cesàro, Riesz, and Poisson-Abel summability of Fourier series in the eigenfunctions of the Laplace operator”, Soviet Math. Dokl., 6 (1965), 192–195         220. V. A. Ilin, “Klassicheskaya postanovka voprosa o printsipe lokalizatsii dlya ryadov Fure po sobstvennym funktsiyam mnogomernykh oblastei”, Dokl. AN SSSR, 160:3 (1965), 523–526         1 [x] 221. V. A. Ilin, I. A. Shishmarev, “On the theory of linear equations with discontinuous coefficients”, Materialy k sovmestnomu sovetsko-amerikanskomu simpoziumu po uravneniyam v chastnykh proizvodnykh (Novosibirsk, 1963), Acad. Sci. USSR Siberian Branch, 1963, 108–111   222. V. A. Ilin, I. A. Shishmarev, “O tochnykh otsenkakh sobstvennykh funktsii v zamknutoi oblasti”, Materialy k sovmestnomu sovetsko-amerikanskomu simpoziumu po uravneniyam v chastnykh proizvodnykh (Novosibirsk, 1963), Acad. Sci. USSR Siberian Branch, 1963, 112–114   223. V. A. Ilin, “The method of Fourier for an hyperbolic equation with discontinuous coefficients”, Dokl. AN SSSR, 142 (1962), 21–24         5 [x] 224. V. A. Ilin, I. A. Shishmarev, “Zadacha na sobstvennye funktsii dlya operatopa $Lu={\rm div}[p(x)\,{\rm grad}\,u]-g(x)u$ s razryvnymi koeffitsientami”, Sib. matem. zhurn., 2 (1961), 520–536         3 [x] 225. V. A. Ilin, I. A. Shishmarev, “Metod potentsialov dlya zadachi Dirikhle i Neimana”, Sib. matem. zhurn., 2:1 (1961), 46–58         3 [x] 226. V. A. Ilin, I. A. Shishmarev, “Smoothness properties of generalized potentials of an elliptic operator”, Dokl. AN SSSR, 141 (1961), 547–550         227. V. A. Ilin, “O sisteme klassicheskikh sobstvennykh funktsii lineinogo samosopryazhennogo operatora s razryvnymi koeffitsientami”, Dokl. AN SSSR, 137:2 (1961), 272–275         5 [x] 228. V. A. Ilin, “O razreshimosti zadach Dirikhle i Neimana dlya lineinogo ellipticheskogo operatora s razryvnymi koeffitsientami”, Dokl. AN SSSR, 137:1 (1961), 28–30         10 [x] 229. V. A. Il'in, I. A. Shishmarev, “Some problems for the $Lu={\rm div}[p(x){\rm grad}\thinspace u]-q(x)u$ operator with discontinuous coefficients”, Soviet Math. Dokl., 1 (1960), 1306–1309         230. V. A. Il'in, “The solvability of mixed problems for hyperbolic and parabolic equations”, Russian Math. Surveys, 15:1 (1960), 85–142           231. V. A. Il'in, I. A. Shishmarev, “Uniform estimates in closed regions for the eigenfunctions of an elliptic operator and their derivatives”, Izv. Akad. Nauk SSSR Ser. Mat., 24:6 (1960), 883–896       232. V. A. Il'in, I. A. Shishmarev, “On the equivalence of the systems of generalized and classical eigenfunctions”, Izv. Akad. Nauk SSSR Ser. Mat., 24:5 (1960), 757–774       233. V. A. Il'in, I. A. Shishmarev, “The connection between generalized and classical solutions of the Dirichlet problem”, Izv. Akad. Nauk SSSR Ser. Mat., 24:4 (1960), 521–530       234. V. A. Ilin, “Solvability of a mixed problem for hyperbolic and parabolic equations on an arbitrary normal cylinder”, Dokl. AN SSSR, 127 (1959), 23–26     235. V. A. Ilin, I. A. Shishmarev, “On the connection between the classical and the generalized solution to Dirichlet's problem and to the problem of eigenvalues”, Dokl. AN SSSR, 126 (1959), 1176–1179     236. V. A. Il'in, “On expansion of functions with singularities in a conditionally convergent series of eigenfunctions”, Izv. Akad. Nauk SSSR Ser. Mat., 22:1 (1958), 49–80       237. V. A. Il'in, “On convergence of expansions in eigenfunctions of the Laplace operator”, Uspekhi Mat. Nauk, 13:1(79) (1958), 87–180       238. V. A. Il'in, “Sufficient conditions for expansibility of a function in an absolutely and uniformly convergent series of eigenfunctions”, Mat. Sb. (N.S.), 46(88):1 (1958), 3–26       239. V. A. Il'in, “On uniform convergence of expansions in eigenfunctions on a whole closed region”, Mat. Sb. (N.S.), 45(87):2 (1958), 195–232       240. V. A. Ilin, “O ravnomernoi skhodimosti razlozhenii po sobstvennym funktsiyam pri summirovanii v poryadke vozrastaniya sobstvennykh chisel”, Dokl. AN SSSR, 114:4 (1957), 698–701       2 [x] 241. V. A. Ilin, “O ravnomernoi skhodimosti razlozhenii po sobstvennym funktsiyam nechetnomernykh oblastei”, Dokl. AN SSSR, 115:4 (1957), 650–652         2 [x] 242. V. A. Il'in, “On the foundations of the Fourier method for the wave equation”, Uspekhi Mat. Nauk, 12:4(76) (1957), 289–296       243. V. A. Il'in, “Kernels of fractional order”, Mat. Sb. (N.S.), 41(83):4 (1957), 459–480       244. V. A. Ilin, “Teorema o razlozhimosti kusochno-gladkoi funktsii v ryad po sobstvennym funktsiyam proizvolnoi dvumernoi oblasti”, Dokl. AN SSSR, 109 (1956), 442–445     245. V. A. Ilin, “Proof that a function with a singularity can be expanded into a series of characteristic functions”, Dokl. AN SSSR, 109 (1956), 21–24     246. V. A. Ilin, “Absolute and uniform convergence of expansions in eigenfunctions throughout a closed domain”, Dokl. AN SSSR, 109 (1956), 690–693     247. V. A. Ilin, “Dostatochnye usloviya razlozhimosti funktsii v absolyutno i ravnomerno skhodyaschiisya ryad po sobstvennym funktsiyam”, Dokl. AN SSSR, 105:2 (1955), 210–213     248. V. A. Ilin, “Expansion of functions having a singularity in series of eigenfunctions. Kernels of fractional order”, Dokl. AN SSSR, 105 (1955), 18–21     249. V. A. Ilin, “Diffraction of electromagnetic waves from a nonideally conducting wedge and the problem of coastal refraction”, Dokl. AN SSSR, 99 (1954), 47–50     250. V. A. Ilin, “O vozbuzhdenii neidealnykh radiovolnovodov”, Dokl. AN SSSR, 98:6 (1954), 925–928   251. V. A. Il'in, Electrodynamic problems for nonideal conducting bodies having angular lines, Morris D. Friedman, Two Pine Street, West Concord, Mass, 1954 , 5 pp., (mimeographed)   252. V. A. Ilin, “Zadachi elektrodinamiki dlya neidealno provodyaschikh tel, imeyuschikh uglovye linii”, Dokl. AN SSSR, 97:2 (1954), 213–216     253. V. A. Ilin, “O skhodimosti bilineinykh ryadov sobstvennykh funktsii”, UMN, 5:4(38) (1950), 135–138       254. V. A. Ilin, “On the convergence of bilinear series of characteristic functions”, Dokl. AN SSSR, 74 (1950), 653–656     255. V. A. Ilin, “The representation of the source-function for a rectangle as a bilinear series of characteristic functions”, Dokl. AN SSSR, 74 (1950), 413–416     256. 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V. V. Aleksandrov, V. S. Vladimirov, A. A. Gonchar, A. I. Grigor'ev, S. S. Grigoryan, S. V. Emel'yanov, V. A. Il'in, S. K. Korovin, D. P. Kostomarov, L. D. Kudryavtsev, L. S. Logunov, O. B. Lupanov, V. P. Maslov, E. I. Moiseev, O. A. Oleinik, Yu. S. Osipov, A. A. Samarskii, P. L. Ul'yanov, L. D. Faddeev, A. T. Fomenko, “Viktor Antonovich Sadovnichiǐ (on the occasion of his sixtieth birthday)”, Differ. Equ., 35:4 (1999), 433–446     311. A. V. Arutyunov, M. I. Gusev, S. V. Emel'yanov, V. A. Il'in, S. K. Korovin, N. N. Krasovskii, E. F. Mishchenko, Yu. S. Osipov, F. L. Chernous'ko, “Aleksandr Borisovich Kurzhanskiǐ (on the occasion of his sixtieth birthday)”, Differ. Equ., 35:11 (1999), 1463–1473     312. D. V. Anosov, V. S. Vladimirov, I. V. Gaishun, N. A. Izobov, V. A. Il'in, I. T. Kiguradze, V. A. Kondratiev, L. D. Kudryavtsev, Yu. A. Mitropol'skii, E. F. Mishchenko, O. A. Oleinik, V. A. Pliss, M. I. Rakhimberdiev, N. Kh. Rozov, A. M. Samoilenko, A. F. Filippov, T. K. Shemjakina, “Vladimir Mikhaǐlovich Millionshchikov (on the occasion of his sixtieth birthday)”, Differ. Equ., 35:10 (1999), 1311–1327     313. N. A. Bobylev, A. A. Gonchar, Yu. I. Zhuravlev, V. A. Il'in, S. K. Korovin, N. N. Krasovskii, A. B. Kurzhanskii, I. M. Makarov, V. P. Maslov, E. F. Mishchenko, E. I. Moiseev, Yu. S. Osipov, V. A. Sadovnichii, A. A. Samarskii, “Stanislav Vasil'evich Emel'yanov (on the occasion of his seventieth birthday)”, Differ. Equ., 35:5 (1999), 577–591     314. V. N. Abrashin, A. A. Arsen'ev, I. V. Gaishun, A. V. Gulin, S. V. Emel'yanov, V. A. Il'in, D. P. Kostomarov, S. P. Kurdyumov, Yu. S. Osipov, Yu. P. Popov, V. A. Sadovnichii, “Aleksandr Andreevich Samarskiǐ (on the occasion of his eightieth birthday)”, Differ. Equ., 35:2 (1999), 145–150     315. Differential Equations, 34:11 (1998), 1443–1444 (1999)         316. Differential Equations, 34:1 (1998), 1–4         317. N. A. Izobov, V. A. Il'in, A. S. Kalashnikov, V. A. Kondratiev, V. M. Millionshchikov, O. A. Oleinik, N. Kh. Rozov, “Alekseǐ Fedorovich Filippov (on the occasion of his 75th anniversary)”, Differ. Equ., 34:10 (1998), 1297–1302     318. V. S. Vladimirov, A. K. Gushchin, V. A. Il'in, V. N. Maslennikova, V. P. Mikhailov, E. I. Moiseev, B. V. Pal'tsev, V. K. Romanko, A. A. Samarskii, “Alekseǐ Alekseevich Dezin (on the occasion of his 75th birthday)”, Differ. Equ., 34:6 (1998), 721–724     319. O. M. Belotserkovskii, S. V. Emel'yanov, S. K. Korovin, V. A. Il'in, O. A. Oleinik, A. P. Prudnikov, V. A. Sadovnichii, A. A. Samarskii, “Evgeniǐ Ivanovich Moiseev (on the occasion of his fiftieth birthday)”, Differ. Equ., 34:3 (1998), 291–292     320. N. A. Izobov, V. A. Kondratiev, V. A. Il'in, I. T. Kiguradze, A. B. Kurzhanskii, V. M. Millionshchikov, O. A. Oleinik, M. I. Rakhimberdiev, T. K. Shemjakina, “Nikolaǐ Khristovich Rozov (on the occasion of his sixtieth birthday)”, Differ. Equ., 34:2 (1998), 151–152     321. Differential Equations, 33:4 (1997), 433–438       322. Differential Equations, 33:6 (1997), 733–740 (1998)         323. Differential Equations, 33:6 (1997), 723–732 (1998)         324. Differential Equations, 33:1 (1997), 1–3         325. Differential Equations, 33:1 (1997), 4–10         326. A. F. Andreev, I. V. Gaishun, V. I. Gromak, N. A. Izobov, V. A. Il'in, I. T. Kiguradze, N. N. Krasovskii, L. D. Kudryavtsev, N. A. Lukashevich, I. P. Martynov, V. A. Pliss, L. A. Cherkas, T. K. Shemjakina, “Nikolaǐ Pavlovich Erugin (on the ninetieth anniversary of his birth)”, Differ. Equ., 33:5 (1997), 583–586     327. Differential Equations, 32:10 (1996), 1297–1299 (1997)         328. Differential Equations, 31:10 (1995), 1744–1745 (1996)       329. Differential Equations, 31:9 (1995), 1393–1400 (1996)         330. Differential Equations, 31:7 (1995), 1035–1055 (1996)       331. Automat. Remote Control, 56:11 (1995), 1509–1510 (1996)         332. Differential Equations, 31:5 (1995), 841–846       333. Differential Equations, 31:4 (1995), 680–681 (1996)       334. A. N. Bogolyubov, V. F. Butuzov, A. B. Vasil'eva, V. A. Il'in, O. A. Oleinik, A. A. Samarskii, “Aleksei Georgievich Sveshnikov (on his seventieth birthday)”, Russian Math. Surveys, 50:1 (1995), 231–233           335. O. V. Besov, S. V. Bochkarev, V. S. Vladimirov, E. A. Volkov, V. K. Dzyadyk, V. A. Il'in, B. S. Kashin, N. P. Korneichuk, L. D. Kudryavtsev, O. A. Oleinik, Yu. S. Osipov, S. I. Pokhozhaev, S. B. Stechkin, S. A. Telyakovskii, V. N. Temlyakov, P. L. Ul'yanov, “Sergei Mikhailovich Nikol'skii (on his ninetieth birthday)”, Russian Math. Surveys, 50:6 (1995), 1321–1327           336. V. A. Il'in, S. M. Nikol'skii, Yu. V. Pokornyi, Differ. Uravn., 31:1 (1995), 178   337. Differential Equations, 30:10 (1994), 1696–1702 (1995)       338. O. A. Oleinik, M. M. Lavrent'ev, V. A. Il'in, A. V. Bitsadze, T. A. Sarymsakov, M. S. Salakhitdinov, Sh. A. Alimov, Sh. A. Ayupov, “Tukhtamurad Dzhuraevich Dzhuraev (on his sixtieth birthday)”, Russian Math. Surveys, 49:5 (1994), 199–201             339. S. M. Nikol'skii, L. D. Kudryavtsev, O. V. Besov, S. I. Pokhozhaev, S. A. Telyakovskii, V. A. Il'in, V. I. Burenkov, S. B. Stechkin, N. V. Miroshin, V. S. Kryuchkov, “Petr Ivanovich Lizorkin (obituary)”, Russian Math. Surveys, 49:3 (1994), 177–179           340. A. A. Arsen'ev, A. V. Bitsadze, A. A. Dorodnitsyn, S. V. Emel'yanov, V. A. Il'in, S. P. Kurdyumov, Yu. S. Osipov, “Aleksandr Andreevich Samarskiǐ (on the occasion of his seventy-fifth birthday)”, Differ. Equ., 30:7 (1994), 1027–1029     341. V. A. Il'in, S. A. Lomov, M. S. Nikol'skii, Yu. V. Pokornyi, Differ. Uravn., 30:3 (1994), 538–539   342. I. V. Volovich, A. K. Gushchin, A. A. Dezin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavyalov, V. A. Il'in, V. M. Millionshchikov, V. N. Mikhailov, A. G. Sergeev, “Vladimirov Vasilii Sergeevich (70-th birthday tribute)”, Differential Equations, 29:2 (1993), 305–313       343. Differential Equations, 29:8 (1993), 1122–1126 (1994)         344. Differential Equations, 29:8 (1993), 1119–1121 (1994)       345. Differential Equations, 29:12 (1993), 1769–1770 (1994)       346. Differential Equations, 29:12 (1993), 1763–1768 (1994)       347. Emel'yanov S. V., Il'in V. A., Korovin S. K., et al., “Avenir Arkad'evich Voronov”, Differentsial'nye Uravneniya, 29:1 (1993), 177–178     348. L. D. Kudryavtsev, S. M. Nikol'skii, V. A. Il'in, “Ivan Aleksandrovich Kipriyanov (on his seventieth birthday)”, Russian Math. Surveys, 48:5 (1993), 191–193             349. O. V. Besov, V. A. Il'in, P. I. Lizorkin, S. M. Nikol'skii, S. I. Pokhozhaev, T. S. Pigolkina, “Lev Dmitrievich Kudryavtsev (on his seventieth birthday)”, Russian Math. Surveys, 48:4 (1993), 261–165             350. A. N. Tikhonov, A. A. Samarskii, O. A. Oleinik, V. A. Il'in, A. G. Sveshnikov, V. F. Butuzov, E. V. Shikin, S. B. Kadomtsev, “Eduard Genrikhovich Poznyak (on his seventieth birthday)”, Russian Math. Surveys, 48:4 (1993), 267–269             351. V. A. Il'in, Differ. Uravn., 29:1 (1993), 3–4   352. O. V. Epifanov, V. A. Il'in, S. M. Nikol'skii, A. M. Sedletskii, P. L. Ul'yanov, M. N. Sheremeta, “Yurii Fedorovich Korobeinik (on his sixtieth birthday)”, Russian Math. Surveys, 47:5 (1992), 215–217             353. V. A. Il'in, S. M. Nikol'skii, B. V. Boyarsky, Z. D. Usmanov, “Abdukhamid Dzhuraevich Dzhuraev (on his sixtieth birthday)”, Russian Math. Surveys, 47:3 (1992), 201–204             354. V. A. Il'in, S. A. Lomov, Yu. V. Pokornyi, Differ. Uravn., 28:12 (1992), 2191   355. V. A. Il'in, S. A. Lomov, Yu. V. Pokornyi, Differ. Uravn., 28:6 (1992), 1093–1094   356. V. S. Vladimirov, V. A. Il'in, S. M. Nikol'skii, A. A. Slavnov, N. N. Bogolyubov (Jr.), D. N. Zubarev, V. M. Millionshchikov, “Nikolaǐ Nikolaevich Bogolyubov”, Differ. Equ., 28:6 (1992), 735–736     357. Dorodnitsyn A. A., Emel'yanov S. V., Il'in V. A., et al., “Andreĭ Vasil'evich Bitsadze (on the occasion of his 75th birthday)”, Differentsial'nye Uravneniya, 27:7 (1991), 1275–1282     1 [x] 358. Differential Equations, 27:5 (1991), 639–640       359. Tikhonov A. N., Il'in V. A., Sadovnichiĭ V. A., et al., “In memory of Yuriĭ Lukich Gaponenko (October 4, 1942–December 7, 1989)”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1990, no. 3, 72–76     360. Il'in V. A., Samarskiĭ A. A., “Aleksandr Andreevich Shestakov (on the occasion of his 70th birthday)”, Differentsial'nye Uravneniya, 26:7 (1990), 1280–1283     361. A. A. Arsen'ev, A. V. Bitsadze, A. A. Dorodnitsyn, S. V. Emel'yanov, N. P. Erugin, V. A. Il'in, S. P. Kurdyumov, A. N. Tikhonov, “Aleksandr Andreevich Samarskiǐ (on the occasion of his seventieth birthday)”, Differ. Equ., 25:12 (1989), 1419–1438     362. Differential Equations, 24:6 (1988), 692–699       363. Bitsadze A. V., Dorodnitsyn A. A., Il'in V. A., Samarskiĭ A. A., Tikhonov A. N., “Nikolaĭ Pavlovich Erugin (on the occasion of his eightieth birthday)”, Differentsial'nye Uravneniya, 23:5 (1987), 739–744     364. M. I. Vishik, A. A. Dorodnitsyn, V. A. Il'in, A. A. Samarskii, S. L. Sobolev, A. N. Tikhonov, “Andrei Vasil'evich Bitsadze (on his seventieth birthday)”, Russian Math. Surveys, 42:3 (1987), 243–245           365. A. V. Bitsadze, V. A. Il'in, O. A. Oleinik, Yu. P. Popov, A. A. Samarskii, A. G. Sveshnikov, S. L. Sobolev, “Andrei Nikolaevich Tikhonov (on his eightieth birthday)”, Russian Math. Surveys, 42:3 (1987), 1–12           366. Dorodnitsyn A. A., Erugin N. P., Il'in V. A., Samarskiĭ A. A., Tikhonov A. N., “Andreĭ Vasil'evich Bitsadze (on the occasion of his seventieth birthday)”, Differentsial'nye Uravneniya, 22:12 (1986), 2032–2040     367. Bitsadze A. V., Erugin N. P., Il'in V. A., Samarskiĭ A. A., “Andreĭ Nikolaevich Tikhonov (on the occasion of his eightieth birthday)”, Differentsial'nye Uravneniya, 22:12 (1986), 2027–2031     368. V. A. Il'in, L. D. Kudryavtsev, P. I. Lizorkin, S. M. Nikol'skii, A. A. Samarskii, A. N. Tikhonov, “Ivan Aleksandrovich Kipriyanov (on his sixtieth birthday)”, Russian Math. Surveys, 39:2 (1984), 219–221             369. Erugin N. P., Il'in V. A., Samarskiĭ A. A., Sveshnikov A. G., “Andreĭ Nikolaevich Tikhonov (on the occasion of his seventy-fifth birthday)”, Differents. uravneniya, 17:10 (1981), 1731–1737       370. A. N. Tikhonov, A. V. Bitsadze, V. A. Il'in, A. G. Sveshnikov, A. A. Arsen'ev, “Aleksandr Andreevich Samarskii (on his sixtieth birthday)”, Russian Math. Surveys, 35:1 (1980), 241–253               371. Tihonov A. N., Bicadze A. V., Erugin N. P., Arsen'ev A. A., Il'in V. A., Svešnikov A. G., Popov Ju. P., “Aleksandr Andreevič Samarskiĭ (on the occasion of his 60th birthday)”, Differents. uravneniya, 15:7 (1979), 1155–1163     372. V. A. Il'in, A. S. Il'inskii, “Conference “Problems of Mathematical Physics and Adjacent Problems of Calculus Mathematics and Theory of Differential Equations””, Uspekhi Mat. Nauk, 32:2(194) (1977), 245–246   373. K. A. Bezhanov, O. V. Besov, A. V. Bitsadze, I. A. Borachinsky, A. A. Vasharin, V. S. Vladimirov, N. V. Zvolinsky, V. A. Il'in, V. P. Korobeinikov, L. D. Kudryavtsev, L. P. Kuptsov, P. I. Lizorkin, Yu. I. Makarychev, V. E. Mirakov, V. P. Mikhailov, E. F. Mishchenko, S. M. Nikol'skii, Yu. S. Nikol'skii, A. P. Novikov, T. S. Pigolkina, S. I. Pokhozhaev, E. A. Romishevsky, S. L. Sobolev, S. V. Uspenskii, M. I. Shabunin, G. N. Yakovlev, Differ. Uravn., 13:6 (1977), 1149–1153   374. A. V. Bitsadze, V. A. Ilin, A. A. Samarskii, A. G. Sveshnikov, “Andrei Nikolaevich Tikhonov (k 70-letiyu so dnya rozhdeniya)”, Differents. uravneniya, 12:10 (1976), 1731–1735       375. N. P. Erugin, A. N. Tikhonov, V. A. Ilin, “Andrei Vasilevich Bitsadze (k 60-letiyu so dnya rozhdeniya)”, Differents. uravneniya, 12:5 (1976), 947–954       376. L. N. Bolshev, V. A. Ilin, N. N. Krasovskii, Yu. V. Prokhorov, B. S. Sotskov, A. N. Tikhonov, “Petr Ivanovich Kuznetsov (na sorokaletiyu nauchnoi deyatelnosti)”, Differents. uravneniya, 12:3 (1976), 567–570       1 [x] 377. A. V. Bitsadze, V. A. Il'in, A. A. Samarskii, A. G. Sveshnikov, “Andrei Nikolaevich Tikhonov (on his seventieth birthday)”, Russian Math. Surveys, 31:6 (1976), 1–11             378. A. N. Tikhonov, V. A. Ilin, A. G. Sveshnikov, A. A. Arsenev, “Aleksandr Andreevich Samarskii (k 50-letiyu so dnya rozhdeniya)”, Differents. ravneniya, 5 (1969), 1909–1914       379. A. N. Tikhonov, V. A. Il'in, A. G. Sveshnikov, A. A. Arsen'ev, Differ. Uravn., 5:10 (1969), 1909–1914       380. V. A. Il'in, L. D. Kudryavtsev, Differ. Uravn., 5:2 (1969), 395–397   381. V. A. Il'in, “Tikhonov's work on methods of solving ill-posed problems”, Russian Math. Surveys, 22:2 (1967), 142–149           382. P. S. Aleksandrov, V. A. Il'in, “Andrei Nikolaevich Tikhonov (on his sixtieth birthday)”, Russian Math. Surveys, 22:2 (1967), 109–110           383. V. A. Ilin, A. G. Sveshnikov, “Andrei Nikolaevich Tikhonov”, Differents. uravneniya, 2 (1966), 1408–1412         Presentations in Math-Net.Ru 1. Boundary control of oscillatory processes V. A. Il'in International Conference on Applied Mathematics and Computer Science dedicated to Academician A. A. Dorodnicyn's 100-th Birthday Anniversary December 7, 2010 17:00    2. On the memories of academician A. A. Dorodnicyn V. A. Il'in International Conference on Applied Mathematics and Computer Science dedicated to Academician A. A. Dorodnicyn's 100-th Birthday Anniversary December 7, 2010 11:35    3. Determination of the explicit analytical types of the optimal boundary controls of the string vibration process V. A. Il'in, E. I. Moiseev International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of L. S. Pontryagin June 19, 2008 10:20    4. Greeting V. A. Il'in Festive meeting for the 100th birthday of Academician Sergei Mikhailovich Nikol'skii April 30, 2005    5. Boundary control of processes described by hyperbolic equations V. A. Il'in Steklov Mathematical Institute Seminar April 18, 2002 Organisations Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics Steklov Mathematical Institute of Russian Academy of Sciences, Moscow