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Prilepko, Aleksei Ivanovich

Statistics Math-Net.Ru
Total publications: 71
Scientific articles: 70
Presentations: 4

Number of views:
This page:2482
Abstract pages:10530
Full texts:4308
References:256
Professor
Doctor of physico-mathematical sciences
Website: http://www.math.msu.su/~matan/prilepko/prilepko.html

http://www.mathnet.ru/eng/person20049
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/203388

Publications in Math-Net.Ru
2017
1. A. I. Prilepko, A. B. Kostin, V. V. Solov'ev, “Inverse source and inverse coefficients problems for elliptic and parabolic equations in Hölder and Sobolev spaces”, Sib. J. Pure and Appl. Math., 17:3 (2017),  67–85  mathnet
2005
2. A. I. Prilepko, “The Semigroup Method for Inverse, Nonlocal, and Nonclassical Problems. Prediction-Control and Prediction-Observation for Evolution Equations: I”, Differ. Uravn., 41:11 (2005),  1560–1571  mathnet  mathscinet; Differ. Equ., 41:11 (2005), 1635–1646
2004
3. A. I. Prilepko, D. S. Tkachenko, “Well-posedness of the inverse source problem for parabolic systems”, Differ. Uravn., 40:11 (2004),  1540–1547  mathnet  mathscinet; Differ. Equ., 40:11 (2004), 1619–1626
2003
4. A. I. Prilepko, D. S. Tkachenko, “Fredholm Property of the Inverse Source Problem for Parabolic Systems”, Differ. Uravn., 39:12 (2003),  1693–1700  mathnet  mathscinet; Differ. Equ., 39:12 (2003), 1785–1793
5. A. I. Prilepko, D. S. Tkachenko, “The Fredholm property and the well-posedness of the inverse source problem with integral overdetermination”, Zh. Vychisl. Mat. Mat. Fiz., 43:9 (2003),  1392–1401  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:9 (2003), 1338–1347
6. A. I. Prilepko, D. S. Tkachenko, “Properties of solutions of a parabolic equation and the uniqueness of the solution of the inverse source problem with integral overdetermination”, Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003),  562–570  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 43:4 (2003), 537–546
1996
7. A. B. Kostin, A. I. Prilepko, “On some problems of the reconstruction of a boundary condition for a parabolic equation. II”, Differ. Uravn., 32:11 (1996),  1519–1528  mathnet  mathscinet; Differ. Equ., 32:11 (1996), 1515–1525
8. A. B. Kostin, A. I. Prilepko, “On some problem of the reconstruction of a boundary condition for a parabolic equation. I”, Differ. Uravn., 32:1 (1996),  107–116  mathnet  mathscinet; Differ. Equ., 32:1 (1996), 113–122
1995
9. A. I. Prilepko, “Inverse problems of potential theory”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, 6,  78–81  mathnet  mathscinet  zmath
1994
10. A. I. Prilepko, I. V. Tikhonov, “Reconstruction of the nonhomogeneous term in an abstract evolution equation”, Izv. RAN. Ser. Mat., 58:2 (1994),  167–188  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 44:2 (1995), 373–394  isi
1993
11. A. I. Prilepko, I. A. Vasin, “A nonlinear inverse problem for determining the coefficient in a system of equations of the dynamics of a viscous incompressible fluid”, Dokl. Akad. Nauk, 330:2 (1993),  161–163  mathnet  mathscinet  zmath; Dokl. Math., 47:3 (1993), 435–439
12. A. I. Prilepko, I. V. Tikhonov, “An Inverse Problem with Final Time Additional Condition for an Abstract Evolution Equation in an Ordered Banach Space”, Funktsional. Anal. i Prilozhen., 27:1 (1993),  81–83  mathnet  mathscinet  zmath; Funct. Anal. Appl., 27:1 (1993), 68–70  isi
13. A. I. Prilepko, A. B. Kostin, “Estimation of the spectral radius of an operator and the solvability of inverse problems for evolution equations”, Mat. Zametki, 53:1 (1993),  89–94  mathnet  mathscinet  zmath; Math. Notes, 53:1 (1993), 63–66  isi
14. A. I. Prilepko, A. B. Kostin, “On inverse problems of determining a coefficient in a parabolic equation. II”, Sibirsk. Mat. Zh., 34:5 (1993),  147–162  mathnet  mathscinet  zmath; Siberian Math. J., 34:5 (1993), 923–937  isi
1992
15. A. I. Prilepko, I. A. Vasin, “Formulation and investigation of a nonlinear inverse problem of the control of the motion of a viscous incompressible fluid”, Differ. Uravn., 28:4 (1992),  697–705  mathnet  mathscinet; Differ. Equ., 28:4 (1992), 569–577
16. A. I. Prilepko, I. V. Tikhonov, “Uniqueness of a solution of the inverse problem for the evolution equation and application to the transport equation”, Mat. Zametki, 51:2 (1992),  77–87  mathnet  mathscinet  zmath; Math. Notes, 51:2 (1992), 158–165  isi
17. A. I. Prilepko, A. B. Kostin, “On certain inverse problems for parabolic equations with final and integral observation”, Mat. Sb., 183:4 (1992),  49–68  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 75:2 (1993), 473–490  isi
18. A. I. Prilepko, A. B. Kostin, “Inverse problems of determining the coefficient in a parabolic equation. I”, Sibirsk. Mat. Zh., 33:3 (1992),  146–155  mathnet  mathscinet  zmath; Siberian Math. J., 33:3 (1992), 489–496  isi
1991
19. A. I. Prilepko, D. G. Orlovskii, “Determination of the evolution of a parameter in an abstract parabolic equation”, Differ. Uravn., 27:1 (1991),  114–120  mathnet  mathscinet; Differ. Equ., 27:1 (1991), 91–96
1990
20. A. I. Prilepko, I. A. Vasin, “Some nonstationary inverse problems of hydrodynamics with final observation”, Dokl. Akad. Nauk SSSR, 314:5 (1990),  1075–1078  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 604–607
21. A. I. Prilepko, I. A. Vasin, “A study of problems of the uniqueness of solutions in some nonlinear inverse problems in hydrodynamics”, Differ. Uravn., 26:1 (1990),  109–120  mathnet  mathscinet; Differ. Equ., 26:1 (1990), 97–105
22. I. A. Vasin, A. I. Prilepko, “The solvability of the three-dimensional inverse problem for the non-linear Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 30:10 (1990),  1540–1552  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:5 (1990), 189–199
1989
23. A. I. Prilepko, D. G. Orlovsky, “A semigroup approach to a problem of determining the inhomogeneous term in evolution equations”, Dokl. Akad. Nauk SSSR, 305:5 (1989),  1045–1049  mathnet  mathscinet  zmath; Dokl. Math., 39:2 (1989), 362–365
24. A. I. Prilepko, I. A. Vasin, “An inverse initial-boundary value problem for the nonlinear Navier–Stokes system in the case of final overdetermination”, Differ. Uravn., 25:12 (1989),  2164–2177  mathnet  mathscinet; Differ. Equ., 25:12 (1989), 1547–1557
25. A. I. Prilepko, I. A. Vasin, “Some inverse initial-boundary value problems for nonstationary linearized Navier–Stokes equations”, Differ. Uravn., 25:1 (1989),  106–117  mathnet  mathscinet; Differ. Equ., 25:1 (1989), 85–92
1988
26. A. I. Prilepko, D. G. Orlovsky, “Some inverse problems of kinetic gas theory for states that are close to equilibrium states”, Dokl. Akad. Nauk SSSR, 298:6 (1988),  1334–1338  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 278–282
27. A. I. Prilepko, N. P. Volkov, “Inverse problems for determining the parameters of the nonstationary kinetic transport equation from additional information on the traces of the unknown function”, Differ. Uravn., 24:1 (1988),  136–146  mathnet  mathscinet; Differ. Equ., 24:1 (1988), 107–115
1987
28. A. I. Prilepko, V. V. Solov'ev, “Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type. II”, Differ. Uravn., 23:11 (1987),  1971–1980  mathnet  mathscinet
29. A. I. Prilepko, V. V. Solov'ev, “Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type. I”, Differ. Uravn., 23:10 (1987),  1791–1799  mathnet  mathscinet
30. A. I. Prilepko, D. G. Orlovskii, “Determination of the parameter of an evolution equation and inverse problems of mathematical physics. III”, Differ. Uravn., 23:8 (1987),  1343–1353  mathnet  mathscinet  zmath
31. A. I. Prilepko, V. V. Solov'ev, “On the solvability of inverse boundary value problems for the determination of the coefficient preceding the lower derivative in a parabolic equation”, Differ. Uravn., 23:1 (1987),  136–143  mathnet  mathscinet
32. A. I. Prilepko, N. P. Volkov, “Inverse problems for the determination of parameters of a nonstationary transport equation by overdeterminations of integral type”, Differ. Uravn., 23:1 (1987),  124–136  mathnet  mathscinet
33. D. G. Orlovskii, A. I. Prilepko, “Some inverse problems for the linearized Boltzmann equation”, Zh. Vychisl. Mat. Mat. Fiz., 27:11 (1987),  1690–1700  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:6 (1987), 58–65
1985
34. A. I. Prilepko, A. L. Ivankov, “Inverse problems of determining the coefficient, scattering indicatrix and right-hand side of a nonstationary multivelocity transport equation”, Differ. Uravn., 21:5 (1985),  870–885  mathnet  mathscinet  zmath
35. A. I. Prilepko, D. G. Orlovskii, “Determination of the parameter of an evolution equation and inverse problems of mathematical physics. II”, Differ. Uravn., 21:4 (1985),  694–701  mathnet  mathscinet
36. A. I. Prilepko, D. G. Orlovskii, “Determination of the parameter of an evolution equation and inverse problems of mathematical physics. I”, Differ. Uravn., 21:1 (1985),  119–129  mathnet  mathscinet  zmath
37. A. I. Prilepko, A. L. Ivankov, “Inverse problems of the determination of the coefficient and right-hand side of a nonstationary transport equation from overdeterminedness at a point”, Differ. Uravn., 21:1 (1985),  109–119  mathnet  mathscinet  zmath
1984
38. A. I. Prilepko, D. G. Orlovsky, “Inverse problems for semilinear evolution equations”, Dokl. Akad. Nauk SSSR, 277:4 (1984),  799–803  mathnet  mathscinet  zmath
39. A. I. Prilepko, A. L. Ivankov, “Inverse problems for the nonstationary transport equation”, Dokl. Akad. Nauk SSSR, 276:3 (1984),  555–559  mathnet  mathscinet  zmath
1981
40. A. I. Prilepko, V. G. Cherednichenko, “On a class of inverse boundary value problems for analytic functions”, Differ. Uravn., 17:10 (1981),  1900–1907  mathnet  mathscinet  zmath
1974
41. A. I. Prilepko, “Inverse problems of logarithmic potential for the case of a body that is near a given one”, Differ. Uravn., 10:1 (1974),  168–170  mathnet  mathscinet  zmath
1973
42. A. I. Prilepko, “A certain class of integral equations of the first kind”, Differ. Uravn., 9:1 (1973),  136–141  mathnet  mathscinet  zmath
43. A. I. Prilepko, “Inverse problems of potential theory (elliptic, parabolic, hyperbolic, and transport equations)”, Mat. Zametki, 14:5 (1973),  755–767  mathnet  mathscinet  zmath; Math. Notes, 14:5 (1973), 990–996
1972
44. A. I. Prilepko, “An interior inverse problem of the metaharmonic potential for a body that is close to the given one”, Differ. Uravn., 8:1 (1972),  118–125  mathnet  mathscinet  zmath
1971
45. A. I. Prilepko, “Existence of solutions of inverse problems in the potential theory”, Dokl. Akad. Nauk SSSR, 199:1 (1971),  30–32  mathnet  mathscinet  zmath
46. A. I. Prilepko, “Mixed inverse problems of potential theory in the case of contact bodies”, Differ. Uravn., 7:1 (1971),  94–108  mathnet  mathscinet  zmath
47. A. I. Prilepko, “A certain method of expanding a solid metaharmonic potential in an integro-power series”, Differ. Uravn., 7:1 (1971),  81–93  mathnet  mathscinet  zmath
48. A. I. Prilepko, “Mixed inverse problems of potential theory in the case of star-like bodies”, Sibirsk. Mat. Zh., 12:6 (1971),  1341–1353  mathnet  mathscinet  zmath; Siberian Math. J., 12:6 (1971), 969–978
49. A. I. Prilepko, “Mappings of three-dimensional domains that are close to one another, and certain properties of metaharmonic potentials”, Sibirsk. Mat. Zh., 12:5 (1971),  1077–1084  mathnet  mathscinet  zmath; Siberian Math. J., 12:5 (1971), 777–782
50. A. I. Prilepko, “The stability and uniqueness of the solution of inverse problems of generalized simple layer potentials”, Sibirsk. Mat. Zh., 12:4 (1971),  828–836  mathnet  mathscinet  zmath; Siberian Math. J., 12:4 (1971), 594–601
51. A. I. Prilepko, “Interior inverse problems of generalized potentials”, Sibirsk. Mat. Zh., 12:3 (1971),  630–647  mathnet  mathscinet  zmath; Siberian Math. J., 12:3 (1971), 447–460
1970
52. A. I. Prilepko, “The uniqueness of the determination of the shape and density of a body in inverse problems of potential theory”, Dokl. Akad. Nauk SSSR, 193:2 (1970),  288–291  mathnet  mathscinet  zmath
53. A. I. Prilepko, “Exterior contact inverse problems of generalized magnetic potentials of variable densities”, Differ. Uravn., 6:1 (1970),  39–49  mathnet  mathscinet  zmath
54. A. I. Prilepko, “Inverse problems of generalized magnetic potentials”, Differ. Uravn., 6:1 (1970),  27–38  mathnet  mathscinet  zmath
55. A. I. Prilepko, “The solvability of the inverse problem of a variable density volume potential for a body that is close to a given one”, Sibirsk. Mat. Zh., 11:6 (1970),  1321–1332  mathnet  mathscinet  zmath; Siberian Math. J., 11:6 (1970), 973–981
1969
56. A. I. Prilepko, “An exterior inverse problem of volume potential of variable density for a body which is close to a given one”, Dokl. Akad. Nauk SSSR, 185:1 (1969),  40–42  mathnet  mathscinet  zmath
57. A. I. Prilepko, “The stability of the inverse problem of exterior potential”, Differ. Uravn., 5:1 (1969),  72–80  mathnet  mathscinet  zmath
1968
58. A. I. Prilepko, “Interior inverse problems in potential theory”, Dokl. Akad. Nauk SSSR, 182:3 (1968),  503–505  mathnet  mathscinet  zmath
59. A. I. Prilepko, “Inverse contact problems of generalized magnetic potentials”, Dokl. Akad. Nauk SSSR, 181:5 (1968),  1065–1068  mathnet  mathscinet  zmath
60. A. I. Prilepko, “Some conditions for the uniqueness of the solution of the exterior inverse problem of potential theory with variable density”, Differ. Uravn., 4:1 (1968),  74–86  mathnet  mathscinet  zmath
1967
61. A. I. Prilepko, “Inverse problems of potential theory”, Differ. Uravn., 3:1 (1967),  30–44  mathnet  mathscinet  zmath
1966
62. A. I. Prilepko, “Some conditions for uniqueness of the solution of inverse problems of potential theory”, Dokl. Akad. Nauk SSSR, 171:1 (1966),  51–54  mathnet  mathscinet  zmath
63. A. I. Prilepko, “The uniqueness of a solution of an inverse problem represented by an integral equation of the first kind”, Dokl. Akad. Nauk SSSR, 167:4 (1966),  751–754  mathnet  mathscinet  zmath
64. A. I. Prilepko, “Uniqueness of solutions of inverse problems for metaharmonic potentials”, Differ. Uravn., 2:2 (1966),  194–204  mathnet  mathscinet  zmath
65. A. I. Prilepko, “Uniqueness of the solution of the exterior inverse problem for a Newtonian potential”, Differ. Uravn., 2:1 (1966),  107–124  mathnet  mathscinet
1965
66. A. I. Prilepko, “On the uniqueness of the determination of the form of a body by the values of the exterior potential”, Dokl. Akad. Nauk SSSR, 160:1 (1965),  40–43  mathnet  mathscinet  zmath
67. A. I. Prilepko, “The inverse problem of metaharmonic potential for a body close to a given one”, Sibirsk. Mat. Zh., 6:6 (1965),  1332–1356  mathnet  mathscinet  zmath
1964
68. A. I. Prilepko, “On the inverse problem for the metaharmonic potential”, Dokl. Akad. Nauk SSSR, 154:3 (1964),  534–537  mathnet  mathscinet  zmath
1961
69. A. I. Prilepko, “Uniqueness of the solution to the inverse problem of the metaharmonic potential”, Dokl. Akad. Nauk SSSR, 139:6 (1961),  1308–1310  mathnet  mathscinet  zmath
1959
70. A. I. Prilepko, G. D. Suvorov, “An existence theorem for convergent sequences of analytic functions”, Uspekhi Mat. Nauk, 14:1(85) (1959),  215–218  mathnet  mathscinet  zmath

1992
71. Yu. A. Eremin, A. S. Leonov, A. I. Prilepko, “Inverse problems in partial differential equations. Eds D. Colton, R. Ewing, W. Rundell. Proc. SIAM. Philadelphia, 1990. Book review”, Zh. Vychisl. Mat. Mat. Fiz., 32:7 (1992),  1149–1150  mathnet

Presentations in Math-Net.Ru
1. Optimal control and inverse problems for first-order equations in Banach spaces
A. I. Prilepko
International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy
June 1, 2018 14:30
2. Inverse source and inverse coefficients problems for elliptic and parabolic equations in Hölder and Sobolev spaces
A. I. Prilepko, A. B. Kostin, V. Soloviev
International conference "Dynamical Systems: Inverse Problems, Stability and Control Processes" dedicated to the 80th birthday of Yu. S. Osipov
September 22, 2016 15:30   
3. Критерии единственности решения и корректности в линейной обратной задаче с финальным наблюдением
A. B. Kostin, A. I. Prilepko
Dynamical systems and differential equations
May 16, 2016 18:30
4. Управляемость и наблюдаемость в банаховых пространствах
A. I. Prilepko
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 25, 2015 16:40

Organisations
 
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