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)

   2014
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  mathnet  crossref  crossref  isi  elib  elib  scopus

   2013
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  mathnet  crossref  crossref  mathscinet  isi  elib

   2012
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  crossref  mathscinet  zmath  isi  elib  scopus
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  crossref  mathscinet  zmath  isi  elib  scopus
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  crossref  mathscinet  zmath  isi  elib  scopus
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  crossref  mathscinet  zmath  isi  elib  scopus
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  crossref  mathscinet  zmath  isi  elib  scopus
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  crossref  mathscinet  zmath  isi  elib  scopus

   2011
9. V. A. Ilin, “Optimizatsiya proizvodimogo smescheniem granichnogo upravleniya kolebaniyami sterzhnya, sostoyaschego iz dvukh raznorodnykh uchastkov”, Differents. uravneniya, 47:7 (2011), 978–986  mathscinet  zmath  elib 3

   2012
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  mathnet  crossref  isi  elib  scopus

   2011
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  crossref  mathscinet  zmath  isi  elib  scopus
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  crossref  mathscinet  zmath  isi  elib  scopus
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  crossref  mathscinet  zmath  isi  elib  scopus

   2010
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  mathnet  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
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  mathnet  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
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  crossref  mathscinet  zmath  isi  elib  scopus

   2009
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  mathnet  crossref  mathscinet  zmath  zmath  isi  elib  scopus
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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
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  mathnet  mathscinet  zmath  isi  elib
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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
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  mathnet  crossref  mathscinet  zmath  isi  scopus
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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
24. D. V. Anosov, V. S. Vladimirov, I. V. Gaishun, N. A. Izobov, V. A. Ilin, I. T. Kiguradze, V. V. Kozlov, V. A. Kondratev, L. D. Kudryavtsev, A. A. Martynyuk, E. F. Mischenko, V. A. Pliss, N. Kh. Rozov, A. M. Samoilenko, I. N. Sergeev, T. K. Shemyakina, “Vladimir Mikhailovich Millionschikov (nekrolog)”, Differents. uravneniya, 45:8 (2009), 1209–1212  mathscinet  zmath
25. 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  crossref  mathscinet  zmath  isi  elib  scopus

   2008
26. 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  mathscinet  zmath
27. 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  mathnet  mathscinet  zmath 1
28. 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  mathnet  mathscinet  zmath
29. 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  mathnet  mathscinet  zmath 1
30. 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  mathnet  mathscinet  zmath
31. Differ. Equ., 44:3 (2008), 401–407  crossref  mathscinet  zmath  isi  scopus
32. 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  mathscinet  zmath
33. Differ. Equ., 44:11 (2008), 1548–1558  crossref  mathscinet  zmath  isi  scopus
34. 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  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2007
35. 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  mathnet  mathscinet  zmath
36. 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  mathnet  mathscinet  zmath
37. 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  mathnet  mathscinet  zmath
38. 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  mathnet  mathscinet  zmath 1
39. 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  mathnet  mathscinet  zmath
40. Differ. Equ., 43:12 (2007), 1697–1704  crossref  mathscinet  zmath  isi  scopus
41. Differ. Equ., 43:11 (2007), 1569–1584  crossref  mathscinet  zmath  isi  scopus
42. 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  crossref  mathscinet  zmath  scopus
43. 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  mathscinet  zmath
44. 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  mathnet  crossref  mathscinet  zmath  elib  scopus

   2003
45. 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  mathnet  crossref  mathscinet  zmath

   2006
46. 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  mathnet  mathscinet  zmath
47. Differ. Equ., 42:12 (2006), 1775–1786  mathnet  crossref  mathscinet  zmath  isi  scopus
48. Differ. Equ., 42:11 (2006), 1633–1644  mathnet  crossref  mathscinet  zmath  isi  scopus
49. Moscow Univ. Comput. Math. Cybernet., 2006, no. 3, 1–13  mathscinet  zmath
50. 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  mathnet

   2005
51. Differ. Equ., 41:1 (2005), 110–120  mathnet  crossref  mathscinet  zmath  isi  scopus
52. 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  mathnet  mathscinet  zmath 1
53. 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  mathnet  mathscinet  zmath 1
54. 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  mathnet  mathscinet  zmath 1
55. 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  mathnet  mathscinet 3
56. 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  mathnet  mathscinet 1
57. 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  mathnet  mathscinet 3
58. V. A. Il'in, E. I. Moiseev, “Optimization of boundary controls of string vibrations”, Russian Math. Surveys, 60:6 (2005), 1093–1119  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
59. 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  mathnet  mathscinet  zmath

   2004
60. 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  mathnet  mathscinet 1
61. 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  mathnet  mathscinet  zmath 7

   2003
62. 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  mathscinet
63. 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  mathnet  mathscinet 5
64. 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  mathnet  mathscinet  zmath  isi
65. J. Math. Sci. (N. Y.), 114:4 (2003), 1461–1472  crossref  mathscinet

   2002
66. 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  mathnet  mathscinet  zmath 7
67. 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  mathnet  mathscinet  zmath 5

   2001
68. 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  mathnet  mathscinet  zmath 2
69. 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  mathnet  mathscinet  zmath 6
70. V. A. Il'in, “Boundary Control of Spherically Symmetric Oscillations of a Three-Dimensional Ball”, Proc. Steklov Inst. Math., 232 (2001), 138–149  mathnet  mathscinet  zmath

   2000
71. Differ. Equ., 36:11 (2000), 1659–1675  mathnet  crossref  mathscinet  zmath  isi  scopus
72. Differ. Equ., 36:12 (2000), 1832–1849  mathnet  crossref  mathscinet  zmath  isi  scopus
73. Differ. Equ., 36:5 (2000), 728–733  mathnet  crossref  mathscinet  zmath  isi  scopus
74. Program. Comput. Software, 26:1 (2000), 39–41  crossref  mathscinet  isi  scopus

   1999
75. Differential Equations, 35:12 (1999), 1665–1682 (2000)  mathnet  mathscinet  zmath  isi
76. Differential Equations, 35:11 (1999), 1535–1552 (2000)  mathnet  mathscinet  zmath  isi
77. 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  mathnet  mathscinet  zmath  isi 2
78. Il'in V. A., “Boundary control of the oscillation process at two ends”, Dokl. Akad. Nauk, 369:5 (1999), 592–596  mathnet  mathscinet  zmath  isi 5
79. Differential Equations, 35:5 (1999), 697–708  mathnet  mathscinet  zmath  isi
80. Differential Equations, 35:2 (1999), 187–198  mathnet  mathscinet  zmath  isi

   1998
81. Differential Equations, 34:5 (1998), 639–646  mathnet  mathscinet  zmath  isi
82. Differential Equations, 34:3 (1998), 358–368  mathnet  mathscinet  zmath  isi

   1997
83. Differential Equations, 33:3 (1997), 321–325  mathnet  mathscinet  zmath  isi
84. 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  crossref  mathscinet  isi  scopus 12
85. 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  crossref  mathscinet  zmath  isi  scopus
86. 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  crossref  mathscinet  zmath  isi  scopus
87. 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  mathnet  mathscinet  zmath

   1996
88. 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  mathnet  mathscinet  zmath  isi
89. Differential Equations, 32:4 (1996), 437–441  mathnet  mathscinet  zmath  isi
90. Differential Equations, 32:3 (1996), 364–379  mathnet  mathscinet  zmath  isi
91. Differential Equations, 32:1 (1996), 32–37  mathnet  mathscinet  zmath  isi

   1995
92. Differential Equations, 31:11 (1995), 1796–1809 (1996)  mathnet  mathscinet  zmath  isi
93. Differential Equations, 31:10 (1995), 1613–1621 (1996)  mathnet  mathscinet  zmath  isi
94. Differential Equations, 31:9 (1995), 1409–1418 (1996)  mathnet  mathscinet  zmath  isi
95. Differential Equations, 31:12 (1995), 1927–1937 (1996)  mathnet  mathscinet  zmath  isi
96. Differential Equations, 31:8 (1995), 1267–1274 (1996)  mathnet  mathscinet  zmath  isi
97. Differential Equations, 31:8 (1995), 1253–1266 (1996)  mathnet  mathscinet  zmath  isi
98. 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.  mathscinet  zmath

   1994
99. Differential Equations, 30:9 (1994), 1402–1413 (1995)  mathnet  mathscinet  zmath  isi
100. Differential Equations, 30:1 (1994), 119–132  mathnet  mathscinet  zmath  isi
101. Russian Acad. Sci. Dokl. Math., 48:3 (1994), 445–448  mathnet  mathscinet  zmath  isi
102. 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  mathnet  mathscinet  zmath

   1991
103. Il'in V. A., Spektralnaya teoriya differentsialnykh operatorov, Samosopryazhennye differentsialnye operatory. [Selfadjoint differential operators], “Nauka”, Moscow, 1991 , 368 pp.  mathscinet  zmath
104. Differential Equations, 27:11 (1991), 1307–1321 (1992)  mathnet  mathscinet  zmath  zmath  isi

   1992
105. Soviet Math. Dokl., 44:1 (1992), 141–144  mathnet  mathscinet  zmath  isi

   1991
106. Il'in V., Pozniak E., Fundamentos del análisis matemático. 3, Translated from the Russian by K. P. Medkov, Editorial Mir, Moscow, 1991 , 471 pp.  mathscinet
107. 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.  mathscinet
108. Il'in V., Pozniak E., Fundamentos del análisis matemático. 1, Translated from the Russian by M. Andrianova, Editorial Mir, Moscow, 1991 , 326 pp.  mathscinet
109. 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  mathnet  mathscinet  mathscinet  zmath
110. Differential Equations, 27:4 (1991), 401–416  mathnet  mathscinet  zmath  isi
111. Soviet Math. Dokl., 43:2 (1991), 320–324  mathnet  mathscinet  zmath  isi
112. 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  mathscinet  zmath
113. P. A. Baikov, V. A. Il'in, “Status of $\gamma^5$ in dimensional regularization”, Theoret. and Math. Phys., 88:2 (1991), 789–809  mathnet  crossref  mathscinet  adsnasa  isi  scopus
114. Soviet Math. Dokl., 42:2 (1991), 292–295  mathnet  mathscinet  zmath  isi

   1990
115. Differential Equations, 26:12 (1990), 1564–1567 (1991)  mathnet  mathscinet  zmath  isi
116. 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  mathnet  mathscinet  zmath
117. 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  mathnet  mathscinet  zmath

   1989
118. Differential Equations, 25:12 (1989), 1518–1527 (1990)  mathnet  mathscinet  zmath
119. Differential Equations, 25:11 (1989), 1383–1394 (1990)  mathnet  mathscinet  zmath
120. 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  crossref  mathscinet  zmath  isi  scopus

   1988
121. 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)  mathscinet  zmath
122. Differential Equations, 24:5 (1988), 565–572  mathnet  mathscinet  zmath
123. Differential Equations, 24:5 (1988), 519–526  mathnet  mathscinet  zmath  zmath

   1987
124. 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.  mathscinet
125. 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  mathscinet  zmath
126. 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  mathnet  mathscinet  zmath 6
127. 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  mathnet  mathscinet  zmath 4

   1988
128. A. V. Bitsadze, V. S. Vinogradov, A. A. Dezin, V. A. Il'in, “Partial differential equations”, Proc. Steklov Inst. Math., 176 (1988), 263–300  mathnet  mathscinet  zmath

   1987
129. 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  mathnet  mathscinet  zmath  isi 1

   1986
130. Ilyin V. A., Poznyak È. G., Linear algebra, Translated from the Russian by Irene Aleksanova, “Mir”, Moscow, 1986 , 285 pp.  mathscinet  zmath
131. 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  mathnet  mathscinet  zmath 14
132. 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  mathnet  mathscinet  zmath  isi 1
133. 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  mathnet  mathscinet  zmath  isi 19
134. 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  mathnet  mathscinet  zmath  isi
135. 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  mathscinet
136. 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  mathnet  mathscinet  zmath

   1985
137. 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.  mathscinet
138. 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  mathnet  mathscinet  zmath  isi
139. 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  mathscinet  zmath
140. 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  mathnet  mathscinet  zmath 1
141. 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  mathnet  crossref  mathscinet  adsnasa  isi  scopus
142. 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  mathnet  mathscinet  zmath

   1984
143. 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  mathscinet
144. 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.  mathscinet
145. 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  mathnet  mathscinet  zmath  isi 2

   1983
146. Il'in V. A., “Spectral theory of differential operators”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 427–443  mathscinet
147. 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  mathscinet
148. 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  mathnet  mathscinet  zmath  isi 10
149. 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  mathnet  mathscinet  zmath  isi 6
150. 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  mathnet  crossref  mathscinet  zmath  isi  scopus

   1982
151. 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  mathnet  mathscinet 1
152. Ilyin V. A., Poznyak È. G., Fundamentals of mathematical analysis. Part 2, Translated from the Russian by Vladimir Shokurov, “Mir”, Moscow, 1982 , 438 pp.  mathscinet
153. Ilyin V. A., Poznyak È. G., Fundamentals of mathematical analysis. Part 1, Translated from the Russian by Irene Aleksanova, “Mir”, Moscow, 1982 , 637 pp.  mathscinet
154. 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  mathnet  mathscinet  zmath
155. 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  mathnet  crossref  mathscinet  adsnasa  isi  scopus

   1981
156. 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  mathnet  mathscinet
157. 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  mathnet  mathscinet  zmath 4

   1980
158. 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  mathnet  mathscinet  zmath 8
159. 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  mathnet  mathscinet  zmath 8
160. V. A. Il'in, D. A. Slavnov, “$S$ matrix with nonlocal classical sources”, Theoret. and Math. Phys., 43:1 (1980), 307–312  mathnet  crossref  mathscinet  adsnasa  isi  scopus

   1979
161. 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  mathnet  mathscinet  zmath 1
162. 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  mathnet  mathscinet  zmath 4
163. Il'in V. A., Sadovničiĭ V. A., Sendov Bl. H., Matematicheskii analiz, “Nauka”, Moscow, 1979 , 719 pp.  mathscinet
164. 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  mathscinet

   1978
165. 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  mathnet  mathscinet  mathscinet  zmath
166. 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  mathnet  mathscinet  mathscinet  zmath 1
167. V. A. Il'in, D. A. Slavnov, “Algebras of observables in the $S$-matrix approach”, Theoret. and Math. Phys., 36:1 (1978), 578–585  mathnet  crossref  mathscinet  adsnasa  scopus

   1977
168. 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  mathscinet
169. 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  mathscinet
170. 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  mathnet  crossref  mathscinet  zmath  scopus
171. 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  mathnet  crossref  mathscinet  zmath  adsnasa  scopus

   1979
172. 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  mathnet  mathscinet  zmath

   1976
173. 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  mathnet  mathscinet  mathscinet  zmath 2
174. 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  mathnet  mathscinet  mathscinet  zmath 6
175. 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  mathnet  crossref  mathscinet  zmath  adsnasa  scopus

   1975
176. 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  mathnet  mathscinet  mathscinet  zmath 4
177. 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  mathnet  mathscinet  mathscinet  zmath 5
178. 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  mathnet  mathscinet 3
179. 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  mathnet  crossref  mathscinet  zmath  scopus

   1974
180. 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  mathnet  mathscinet  zmath 1
181. V. A. Ilin, E. G. Poznyak, Lineinaya algebra, Kurs vysshei matematiki i matematicheskoi fiziki. 6, Nauka, M., 1974 , 296 pp.  mathscinet
182. 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  mathnet  mathscinet  zmath
183. 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  mathnet  crossref  mathscinet  zmath  scopus

   1973
184. 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  mathnet  mathscinet  zmath 3

   1972
185. V. A. Il'in, “Some questions in the spectral theory of elliptic operators”, Math. Notes, 12:4 (1972), 727–732  mathnet  crossref  mathscinet  zmath  scopus
186. 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  mathnet  mathscinet  mathscinet  zmath
187. 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  mathnet  mathscinet  zmath 1
188. V. A. Ilin, Sh. A. Alimov, “Letter to the editors”, Differents. uravneniya, 8 (1972), 190  mathnet  mathscinet  zmath
189. Sh. A. Alimov, V. A. Ilin, “The divergence in $L_p$ of the Riesz means of spectral expansions”, Differents. uravneniya, 8 (1972), 1092–1094  mathnet  mathscinet  zmath 2
190. 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  mathnet  mathscinet  zmath

   1971
191. 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  mathscinet
192. 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  mathnet  mathscinet  mathscinet  zmath 2
193. 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.  mathscinet
194. 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  mathnet  mathscinet  mathscinet  zmath
195. 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  mathnet  mathscinet  zmath 1
196. 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  mathnet  mathscinet  zmath 5
197. 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  mathnet  mathscinet  zmath 12

   1970
198. 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  mathnet  mathscinet  mathscinet  zmath
199. 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  mathscinet
200. 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  mathscinet
201. 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  mathnet  mathscinet  mathscinet  zmath 1
202. 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  mathnet  mathscinet  zmath
203. 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  mathnet  mathscinet  zmath
204. 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  mathnet  mathscinet  mathscinet  zmath
205. 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  mathnet  crossref  mathscinet  zmath  scopus
206. 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  mathnet  mathscinet  mathscinet  zmath 5
207. 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  mathnet  mathscinet  mathscinet  zmath
208. 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  mathnet  mathscinet  zmath
209. 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  mathnet  crossref  mathscinet  zmath  scopus

   1969
210. V. A. Ilin, I. A. Shishmarev, “Ryady Fure po fundamentalnym sistemam funktsii poligarmonicheskogo operatora”, Dokl. AN SSSR, 189:4 (1969), 707–709  mathnet  mathscinet  mathscinet 1
211. V. A. Ilin, “Fourier series in fundamental systems of functions of the Beltrami operator”, Differents. ravneniya, 5 (1969), 1940–1978  mathnet  mathscinet  zmath 5
212. 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  mathnet  mathscinet  mathscinet  zmath
213. V. A. Il'in, Differ. Uravn., 5:11 (1969), 1940–1978  mathnet  mathscinet  zmath

   1968
214. 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  mathnet  crossref  mathscinet  mathscinet  zmath  scopus
215. 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  mathnet  crossref  mathscinet  zmath  adsnasa

   1967
216. 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  mathnet  mathscinet  mathscinet  zmath 2
217. 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  mathnet  mathscinet  zmath 1

   1966
218. V. A. Ilin, “Ryady Fure po sobstvennym funktsiyam mnogomernykh oblastei, raskhodyaschiesya pochti vsyudu”, Dokl. AN SSSR, 170:2 (1966), 257–260  mathnet  mathscinet  mathscinet  zmath 4
219. V. A. Ilin, “O summiruemosti ryadov Fure po sobstvennym funktsiyam srednimi Rissa, Chezaro i Puassona–Abelya”, Differents. uravneniya, 2:6 (1966), 816–827  mathnet  mathscinet  zmath 2

   1965
220. 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  mathnet  mathscinet  mathscinet  zmath
221. 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  mathnet  mathscinet  mathscinet  zmath 1

   1963
222. 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  mathscinet
223. 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  mathscinet

   1962
224. V. A. Ilin, “The method of Fourier for an hyperbolic equation with discontinuous coefficients”, Dokl. AN SSSR, 142 (1962), 21–24  mathnet  mathscinet  mathscinet  zmath 5

   1961
225. 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  mathnet  mathscinet  mathscinet  zmath 3
226. V. A. Ilin, I. A. Shishmarev, “Metod potentsialov dlya zadachi Dirikhle i Neimana”, Sib. matem. zhurn., 2:1 (1961), 46–58  mathnet  mathscinet  mathscinet  zmath 3
227. V. A. Ilin, I. A. Shishmarev, “Smoothness properties of generalized potentials of an elliptic operator”, Dokl. AN SSSR, 141 (1961), 547–550  mathnet  mathscinet  mathscinet  zmath
228. V. A. Ilin, “O sisteme klassicheskikh sobstvennykh funktsii lineinogo samosopryazhennogo operatora s razryvnymi koeffitsientami”, Dokl. AN SSSR, 137:2 (1961), 272–275  mathnet  mathscinet  mathscinet  zmath 5
229. V. A. Ilin, “O razreshimosti zadach Dirikhle i Neimana dlya lineinogo ellipticheskogo operatora s razryvnymi koeffitsientami”, Dokl. AN SSSR, 137:1 (1961), 28–30  mathnet  mathscinet  mathscinet  zmath 10

   1960
230. 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  mathnet  mathscinet  mathscinet  zmath
231. V. A. Il'in, “The solvability of mixed problems for hyperbolic and parabolic equations”, Russian Math. Surveys, 15:1 (1960), 85–142  mathnet  crossref  mathscinet  zmath  adsnasa
232. 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  mathnet  mathscinet  zmath
233. 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  mathnet  mathscinet  zmath
234. 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  mathnet  mathscinet  zmath

   1959
235. 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  mathscinet  zmath
236. 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  mathscinet  zmath

   1958
237. 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  mathnet  mathscinet  zmath
238. V. A. Il'in, “On convergence of expansions in eigenfunctions of the Laplace operator”, Uspekhi Mat. Nauk, 13:1(79) (1958), 87–180  mathnet  mathscinet  zmath
239. 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  mathnet  mathscinet  zmath
240. 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  mathnet  mathscinet  zmath

   1957
241. 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  mathnet  mathscinet  zmath 2
242. V. A. Ilin, “O ravnomernoi skhodimosti razlozhenii po sobstvennym funktsiyam nechetnomernykh oblastei”, Dokl. AN SSSR, 115:4 (1957), 650–652  mathnet  mathscinet  mathscinet  zmath 2
243. V. A. Il'in, “On the foundations of the Fourier method for the wave equation”, Uspekhi Mat. Nauk, 12:4(76) (1957), 289–296  mathnet  mathscinet  zmath
244. V. A. Il'in, “Kernels of fractional order”, Mat. Sb. (N.S.), 41(83):4 (1957), 459–480  mathnet  mathscinet  zmath

   1956
245. V. A. Ilin, “Teorema o razlozhimosti kusochno-gladkoi funktsii v ryad po sobstvennym funktsiyam proizvolnoi dvumernoi oblasti”, Dokl. AN SSSR, 109 (1956), 442–445  mathscinet  zmath
246. 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  mathscinet  zmath
247. V. A. Ilin, “Absolute and uniform convergence of expansions in eigenfunctions throughout a closed domain”, Dokl. AN SSSR, 109 (1956), 690–693  mathscinet  zmath

   1955
248. V. A. Ilin, “Dostatochnye usloviya razlozhimosti funktsii v absolyutno i ravnomerno skhodyaschiisya ryad po sobstvennym funktsiyam”, Dokl. AN SSSR, 105:2 (1955), 210–213  mathscinet  zmath
249. V. A. Ilin, “Expansion of functions having a singularity in series of eigenfunctions. Kernels of fractional order”, Dokl. AN SSSR, 105 (1955), 18–21  mathscinet  zmath

   1954
250. 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  mathscinet  zmath
251. V. A. Ilin, “O vozbuzhdenii neidealnykh radiovolnovodov”, Dokl. AN SSSR, 98:6 (1954), 925–928  mathscinet
252. 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)  mathscinet
253. V. A. Ilin, “Zadachi elektrodinamiki dlya neidealno provodyaschikh tel, imeyuschikh uglovye linii”, Dokl. AN SSSR, 97:2 (1954), 213–216  mathscinet  zmath

   1950
254. V. A. Ilin, “O skhodimosti bilineinykh ryadov sobstvennykh funktsii”, UMN, 5:4(38) (1950), 135–138  mathnet  mathscinet  zmath
255. V. A. Ilin, “On the convergence of bilinear series of characteristic functions”, Dokl. AN SSSR, 74 (1950), 653–656  mathscinet  zmath
256. 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  mathscinet  zmath

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