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Prilepko Aleksei Ivanovich

Publications in Math-Net.Ru

  1. 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
  2. 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
  3. Well-posedness of the inverse source problem for parabolic systems

    Differ. Uravn., 40:11 (2004),  1540–1547
  4. Fredholm Property of the Inverse Source Problem for Parabolic Systems

    Differ. Uravn., 39:12 (2003),  1693–1700
  5. 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
  6. 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
  7. On some problems of the reconstruction of a boundary condition for a parabolic equation. II

    Differ. Uravn., 32:11 (1996),  1519–1528
  8. On some problem of the reconstruction of a boundary condition for a parabolic equation. I

    Differ. Uravn., 32:1 (1996),  107–116
  9. Inverse problems of potential theory

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6,  78–81
  10. Reconstruction of the nonhomogeneous term in an abstract evolution equation

    Izv. RAN. Ser. Mat., 58:2 (1994),  167–188
  11. 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
  12. 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
  13. Estimation of the spectral radius of an operator and the solvability of inverse problems for evolution equations

    Mat. Zametki, 53:1 (1993),  89–94
  14. On inverse problems of determining a coefficient in a parabolic equation. II

    Sibirsk. Mat. Zh., 34:5 (1993),  147–162
  15. 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
  16. 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
  17. On certain inverse problems for parabolic equations with final and integral observation

    Mat. Sb., 183:4 (1992),  49–68
  18. Inverse problems of determining the coefficient in a parabolic equation. I

    Sibirsk. Mat. Zh., 33:3 (1992),  146–155
  19. Determination of the evolution of a parameter in an abstract parabolic equation

    Differ. Uravn., 27:1 (1991),  114–120
  20. Some nonstationary inverse problems of hydrodynamics with final observation

    Dokl. Akad. Nauk SSSR, 314:5 (1990),  1075–1078
  21. A study of problems of the uniqueness of solutions in some nonlinear inverse problems in hydrodynamics

    Differ. Uravn., 26:1 (1990),  109–120
  22. 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
  23. A semigroup approach to a problem of determining the inhomogeneous term in evolution equations

    Dokl. Akad. Nauk SSSR, 305:5 (1989),  1045–1049
  24. 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
  25. Some inverse initial-boundary value problems for nonstationary linearized Navier–Stokes equations

    Differ. Uravn., 25:1 (1989),  106–117
  26. Some inverse problems of kinetic gas theory for states that are close to equilibrium states

    Dokl. Akad. Nauk SSSR, 298:6 (1988),  1334–1338
  27. 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
  28. Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type. II

    Differ. Uravn., 23:11 (1987),  1971–1980
  29. Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type. I

    Differ. Uravn., 23:10 (1987),  1791–1799
  30. Determination of the parameter of an evolution equation and inverse problems of mathematical physics. III

    Differ. Uravn., 23:8 (1987),  1343–1353
  31. 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
  32. Inverse problems for the determination of parameters of a nonstationary transport equation by overdeterminations of integral type

    Differ. Uravn., 23:1 (1987),  124–136
  33. Some inverse problems for the linearized Boltzmann equation

    Zh. Vychisl. Mat. Mat. Fiz., 27:11 (1987),  1690–1700
  34. 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
  35. Determination of the parameter of an evolution equation and inverse problems of mathematical physics. II

    Differ. Uravn., 21:4 (1985),  694–701
  36. Determination of the parameter of an evolution equation and inverse problems of mathematical physics. I

    Differ. Uravn., 21:1 (1985),  119–129
  37. 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
  38. Inverse problems for semilinear evolution equations

    Dokl. Akad. Nauk SSSR, 277:4 (1984),  799–803
  39. Inverse problems for the nonstationary transport equation

    Dokl. Akad. Nauk SSSR, 276:3 (1984),  555–559
  40. On a class of inverse boundary value problems for analytic functions

    Differ. Uravn., 17:10 (1981),  1900–1907
  41. Inverse problems of logarithmic potential for the case of a body that is near a given one

    Differ. Uravn., 10:1 (1974),  168–170
  42. A certain class of integral equations of the first kind

    Differ. Uravn., 9:1 (1973),  136–141
  43. Inverse problems of potential theory (elliptic, parabolic, hyperbolic, and transport equations)

    Mat. Zametki, 14:5 (1973),  755–767
  44. 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
  45. Existence of solutions of inverse problems in the potential theory

    Dokl. Akad. Nauk SSSR, 199:1 (1971),  30–32
  46. Mixed inverse problems of potential theory in the case of contact bodies

    Differ. Uravn., 7:1 (1971),  94–108
  47. A certain method of expanding a solid metaharmonic potential in an integro-power series

    Differ. Uravn., 7:1 (1971),  81–93
  48. Mixed inverse problems of potential theory in the case of star-like bodies

    Sibirsk. Mat. Zh., 12:6 (1971),  1341–1353
  49. 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
  50. The stability and uniqueness of the solution of inverse problems of generalized simple layer potentials

    Sibirsk. Mat. Zh., 12:4 (1971),  828–836
  51. Interior inverse problems of generalized potentials

    Sibirsk. Mat. Zh., 12:3 (1971),  630–647
  52. 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
  53. Exterior contact inverse problems of generalized magnetic potentials of variable densities

    Differ. Uravn., 6:1 (1970),  39–49
  54. Inverse problems of generalized magnetic potentials

    Differ. Uravn., 6:1 (1970),  27–38
  55. 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
  56. 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
  57. The stability of the inverse problem of exterior potential

    Differ. Uravn., 5:1 (1969),  72–80
  58. Interior inverse problems in potential theory

    Dokl. Akad. Nauk SSSR, 182:3 (1968),  503–505
  59. Inverse contact problems of generalized magnetic potentials

    Dokl. Akad. Nauk SSSR, 181:5 (1968),  1065–1068
  60. 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
  61. Inverse problems of potential theory

    Differ. Uravn., 3:1 (1967),  30–44
  62. Some conditions for uniqueness of the solution of inverse problems of potential theory

    Dokl. Akad. Nauk SSSR, 171:1 (1966),  51–54
  63. 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
  64. Uniqueness of solutions of inverse problems for metaharmonic potentials

    Differ. Uravn., 2:2 (1966),  194–204
  65. Uniqueness of the solution of the exterior inverse problem for a Newtonian potential

    Differ. Uravn., 2:1 (1966),  107–124
  66. 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
  67. The inverse problem of metaharmonic potential for a body close to a given one

    Sibirsk. Mat. Zh., 6:6 (1965),  1332–1356
  68. On the inverse problem for the metaharmonic potential

    Dokl. Akad. Nauk SSSR, 154:3 (1964),  534–537
  69. Uniqueness of the solution to the inverse problem of the metaharmonic potential

    Dokl. Akad. Nauk SSSR, 139:6 (1961),  1308–1310
  70. An existence theorem for convergent sequences of analytic functions

    Uspekhi Mat. Nauk, 14:1(85) (1959),  215–218

  71. 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

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