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Publications in Math-Net.Ru |
Citations |
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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 ; J. Math. Sci., 237:4 (2019), 576–594 |
13
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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 ; Differ. Equ., 41:11 (2005), 1635–1646 |
12
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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 ; Differ. Equ., 40:11 (2004), 1619–1626 |
4
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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 ; Differ. Equ., 39:12 (2003), 1785–1793 |
4
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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 ; Comput. Math. Math. Phys., 43:9 (2003), 1338–1347 |
5
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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 ; Comput. Math. Math. Phys., 43:4 (2003), 537–546 |
32
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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 ; Differ. Equ., 32:11 (1996), 1515–1525 |
9
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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 ; Differ. Equ., 32:1 (1996), 113–122 |
11
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1995 |
9. |
A. I. Prilepko, “Inverse problems of potential theory”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6, 78–81 |
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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 ; Russian Acad. Sci. Izv. Math., 44:2 (1995), 373–394 |
34
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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 ; Dokl. Math., 47:3 (1993), 435–439 |
2
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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 ; Funct. Anal. Appl., 27:1 (1993), 68–70 |
6
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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 ; Math. Notes, 53:1 (1993), 63–66 |
15
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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 ; Siberian Math. J., 34:5 (1993), 923–937 |
33
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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 ; Differ. Equ., 28:4 (1992), 569–577 |
2
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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 ; Math. Notes, 51:2 (1992), 158–165 |
10
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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 ; Russian Acad. Sci. Sb. Math., 75:2 (1993), 473–490 |
91
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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 ; Siberian Math. J., 33:3 (1992), 489–496 |
33
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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 ; Differ. Equ., 27:1 (1991), 91–96 |
1
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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 ; Dokl. Math., 42:2 (1991), 604–607 |
3
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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 ; Differ. Equ., 26:1 (1990), 97–105 |
3
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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 ; U.S.S.R. Comput. Math. Math. Phys., 30:5 (1990), 189–199 |
8
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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 ; Dokl. Math., 39:2 (1989), 362–365 |
4
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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 ; Differ. Equ., 25:12 (1989), 1547–1557 |
2
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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 ; Differ. Equ., 25:1 (1989), 85–92 |
8
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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 ; Dokl. Math., 37:1 (1988), 278–282 |
1
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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 ; Differ. Equ., 24:1 (1988), 107–115 |
2
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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 |
14
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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 |
11
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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 |
2
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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 |
13
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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 |
2
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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 ; U.S.S.R. Comput. Math. Math. Phys., 27:6 (1987), 58–65 |
4
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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 |
8
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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 |
11
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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 |
7
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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 |
4
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1984 |
38. |
A. I. Prilepko, D. G. Orlovsky, “Inverse problems for semilinear evolution equations”, Dokl. Akad. Nauk SSSR, 277:4 (1984), 799–803 |
39. |
A. I. Prilepko, A. L. Ivankov, “Inverse problems for the nonstationary transport equation”, Dokl. Akad. Nauk SSSR, 276:3 (1984), 555–559 |
1
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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 |
2
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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 |
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1973 |
42. |
A. I. Prilepko, “A certain class of integral equations of the first kind”, Differ. Uravn., 9:1 (1973), 136–141 |
1
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43. |
A. I. Prilepko, “Inverse problems of potential theory (elliptic, parabolic, hyperbolic, and transport equations)”, Mat. Zametki, 14:5 (1973), 755–767 ; Math. Notes, 14:5 (1973), 990–996 |
26
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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 |
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1971 |
45. |
A. I. Prilepko, “Existence of solutions of inverse problems in the potential theory”, Dokl. Akad. Nauk SSSR, 199:1 (1971), 30–32 |
46. |
A. I. Prilepko, “Mixed inverse problems of potential theory in the case of contact bodies”, Differ. Uravn., 7:1 (1971), 94–108 |
1
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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 |
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 ; Siberian Math. J., 12:6 (1971), 969–978 |
3
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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 ; 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 ; Siberian Math. J., 12:4 (1971), 594–601 |
3
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51. |
A. I. Prilepko, “Interior inverse problems of generalized potentials”, Sibirsk. Mat. Zh., 12:3 (1971), 630–647 ; Siberian Math. J., 12:3 (1971), 447–460 |
3
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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 |
53. |
A. I. Prilepko, “Exterior contact inverse problems of generalized magnetic potentials of variable densities”, Differ. Uravn., 6:1 (1970), 39–49 |
54. |
A. I. Prilepko, “Inverse problems of generalized magnetic potentials”, Differ. Uravn., 6:1 (1970), 27–38 |
2
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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 ; Siberian Math. J., 11:6 (1970), 973–981 |
1
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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 |
57. |
A. I. Prilepko, “The stability of the inverse problem of exterior potential”, Differ. Uravn., 5:1 (1969), 72–80 |
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1968 |
58. |
A. I. Prilepko, “Interior inverse problems in potential theory”, Dokl. Akad. Nauk SSSR, 182:3 (1968), 503–505 |
59. |
A. I. Prilepko, “Inverse contact problems of generalized magnetic potentials”, Dokl. Akad. Nauk SSSR, 181:5 (1968), 1065–1068 |
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 |
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1967 |
61. |
A. I. Prilepko, “Inverse problems of potential theory”, Differ. Uravn., 3:1 (1967), 30–44 |
4
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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 |
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 |
2
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64. |
A. I. Prilepko, “Uniqueness of solutions of inverse problems for metaharmonic potentials”, Differ. Uravn., 2:2 (1966), 194–204 |
65. |
A. I. Prilepko, “Uniqueness of the solution of the exterior inverse problem for a Newtonian potential”, Differ. Uravn., 2:1 (1966), 107–124 |
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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 |
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 |
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1964 |
68. |
A. I. Prilepko, “On the inverse problem for the metaharmonic potential”, Dokl. Akad. Nauk SSSR, 154:3 (1964), 534–537 |
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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 |
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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 |
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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 |
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