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Soldatov Alexandr Pavlovich

Publications in Math-Net.Ru

  1. On boundary properties of conformal mappings

    Zh. Vychisl. Mat. Mat. Fiz., 64:9 (2024),  1667–1679
  2. Integral representations for second-order elliptic systems in the plane

    Zh. Vychisl. Mat. Mat. Fiz., 64:1 (2024),  129–148
  3. Makhmud Salakhitdinovich Salakhitdinov

    Chelyab. Fiz.-Mat. Zh., 8:4 (2023),  463–468
  4. Analogue of Kellogg’s theorem for piecewise Lyapunov domains

    Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023),  1332–1342
  5. Singular integral operators with a generalized Cauchy kernel

    Dokl. RAN. Math. Inf. Proc. Upr., 503 (2022),  76–82
  6. Singular integral equations of nonclassical type on a piecewise smooth curve

    Mathematical notes of NEFU, 29:4 (2022),  37–61
  7. On a boundary problem for a fourth-order elliptic equation on a plane

    Zh. Vychisl. Mat. Mat. Fiz., 62:4 (2022),  616–624
  8. On the solvability of the generalized Neumann problem for a higher-order elliptic equation in an infinite domain

    CMFD, 67:3 (2021),  564–575
  9. Linear conjugation problem for elliptic systems in the plane

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 195 (2021),  108–117
  10. Singular integral operators with generalized Cauchy kernel on piecewise smooth contour

    Mathematical notes of NEFU, 28:3 (2021),  70–84
  11. On the Pompeiu integral and its generalizations

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:1 (2021),  60–74
  12. Integral representations of vector functions based on the parametrix of first-order elliptic systems

    Zh. Vychisl. Mat. Mat. Fiz., 61:6 (2021),  967–976
  13. On the Schwarz problem for the Moisil–Teodoresco system

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 188 (2020),  3–13
  14. A Factorization Problem on a Smooth Two-Dimensional Surface

    Mat. Zametki, 108:2 (2020),  285–290
  15. Dirichlet problems for functions that are harmonic on a two-dimensional net

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 160 (2019),  42–48
  16. Linear conjugation problem with a triangular matrix coefficient

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 160 (2019),  3–8
  17. Riemann–Hilbert Problem for First-Order Elliptic Systems with Constant Leading Coefficients on the Plane

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 149 (2018),  95–102
  18. Singular integral operators and elliptic boundary-value problems. I

    CMFD, 63:1 (2017),  1–189
  19. A boundary-value problem for a first-order hyperbolic system in a two-dimensional domain

    Izv. RAN. Ser. Mat., 81:3 (2017),  83–108
  20. A boundary value problem for higher order elliptic equations in many connected domain on the plane

    Vladikavkaz. Mat. Zh., 19:3 (2017),  51–58
  21. On the theory of anisotropic flat elasticity

    CMFD, 60 (2016),  114–163
  22. The linear conjugation problem for bianalytic functions

    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 12,  76–81
  23. On the Spectral Radius of Functional Operators

    Mat. Zametki, 100:1 (2016),  155–162
  24. The Dirichlet problem on two-dimensional stratified sets

    Izv. RAN. Ser. Mat., 79:1 (2015),  77–114
  25. Linear conjugation problem for analytic functions in the weighted Hölder spaces

    Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 9,  56–61
  26. Generalized potentials of double layer in plane theory of elasticity

    Eurasian Math. J., 5:2 (2014),  78–125
  27. The Neumann problem for elliptic systems on a plane

    CMFD, 48 (2013),  120–133
  28. On asymptotics of a piecewise analytic function satisfying contact conditions

    Sibirsk. Mat. Zh., 53:5 (2012),  1001–1006
  29. On Dirichlet-type problems for the Lavrent'ev–Bitsadze equation

    Trudy Mat. Inst. Steklova, 278 (2012),  242–249
  30. Effective boundary conditions for electrodynamic problems with near-surface sources

    Dokl. Akad. Nauk, 413:5 (2007),  620–623
  31. On the index of the Dirichlet problem for elliptic systems on the plane

    Differ. Uravn., 42:8 (2006),  1092–1105
  32. Second-order elliptic systems in the half-plane

    Izv. RAN. Ser. Mat., 70:6 (2006),  161–192
  33. The Bitsadze–Samarskii Problem for Douglis Analytic Functions

    Differ. Uravn., 41:3 (2005),  396–407
  34. On the First and Second Boundary Value Problems for Elliptic Systems on the Plane

    Differ. Uravn., 39:5 (2003),  674–686
  35. Riemann–Hilbert Problems for the Lavrent'ev–Bitsadze System in a Mixed Domain with a Characteristic Part of the Boundary

    Differ. Uravn., 38:12 (2002),  1653–1663
  36. Problem $R$ for the Lavrent'ev–Bitsadze System in Weighted Hardy Classes

    Differ. Uravn., 38:10 (2002),  1418–1430
  37. Weighted Hardy Classes of Analytic Functions

    Differ. Uravn., 38:6 (2002),  809–817
  38. The Algebra of Singular Operators with Terminal Symbol on a Piecewise Smooth Curve: III. Operators of Normal Type

    Differ. Uravn., 37:10 (2001),  1364–1376
  39. The Algebra of Singular Operators with Terminal Symbol on a Piecewise Smooth Curve: II. Basic Constructions

    Differ. Uravn., 37:6 (2001),  825–838
  40. The algebra of singular operators with terminal symbol on a piecewise smooth curve: I. Convolution type operators on a semiaxis

    Differ. Uravn., 36:9 (2000),  1209–1219
  41. The Lavrent'ev–Bitsadze system: Solutions admitting infinite-order zeros

    Differ. Uravn., 36:8 (2000),  1101–1105
  42. On the index of operators with end symbol

    Izv. RAN. Ser. Mat., 63:4 (1999),  171–206
  43. The Riemann–Hilbert problem for the Lavrent'ev–Bitsadze system

    Differ. Uravn., 34:12 (1998),  1649–1659
  44. On a class of strongly elliptic systems

    Differ. Uravn., 33:8 (1997),  1118–1122
  45. On the solvability of the generalized mixed problem

    Differ. Uravn., 32:3 (1996),  384–388
  46. Dirichlet-type problems for the Lavrent'ev–Bitsadze equation

    Differ. Uravn., 30:11 (1994),  2001–2009
  47. Dirichlet-type problems for the Lavrent'ev–Bitsadze equation. II. Existence theorems

    Dokl. Akad. Nauk, 333:1 (1993),  16–18
  48. Dirichlet-type problems for the Lavrent'ev–Bitsadze equation. I. Uniqueness theorems

    Dokl. Akad. Nauk, 332:6 (1993),  696–698
  49. A generalized Cauchy type integral and a singular integral in Hölder spaces with a weight

    Dokl. Akad. Nauk, 330:2 (1993),  164–166
  50. On the solvability of mixed-contact problems in two-dimensional elasticity theory

    Differ. Uravn., 29:5 (1993),  885–889
  51. On a Carleman-type problem for elliptic systems

    Differ. Uravn., 28:1 (1992),  143–151
  52. A function theorety method in elliptic problems in the plane. II. The piecewise smooth case

    Izv. RAN. Ser. Mat., 56:3 (1992),  566–604
  53. A mixed-contact boundary value problem for elliptic systems

    Differ. Uravn., 27:2 (1991),  279–287
  54. Boundary properties of integrals of Cauchy type. The $L_p$ case

    Differ. Uravn., 27:1 (1991),  3–8
  55. A function theory method in boundary value problems in the plane. I. The smooth case

    Izv. Akad. Nauk SSSR Ser. Mat., 55:5 (1991),  1070–1100
  56. Asymptotic behavior of solutions of boundary value problems for elliptic systems near corner points

    Dokl. Akad. Nauk SSSR, 315:1 (1990),  34–36
  57. A general boundary value problem for elliptic systems

    Dokl. Akad. Nauk SSSR, 311:3 (1990),  539–543
  58. A general boundary value problem of $(k-1)$st order for elliptic equations

    Dokl. Akad. Nauk SSSR, 311:1 (1990),  39–43
  59. Functional operators with a shift

    Differ. Uravn., 26:12 (1990),  2136–2145
  60. A Riemann contact problem

    Differ. Uravn., 26:10 (1990),  1828–1830
  61. Boundary properties of Cauchy-type integrals

    Differ. Uravn., 26:1 (1990),  131–136
  62. Higher-order elliptic systems

    Differ. Uravn., 25:1 (1989),  136–144
  63. A general boundary value problem of function theory

    Dokl. Akad. Nauk SSSR, 299:4 (1988),  825–828
  64. A mixed-contact problem in the plane theory of elasticity in domains with a piecewise smooth boundary

    Differ. Uravn., 24:1 (1988),  55–64
  65. Boundary value problems with A. A. Samarskii general nonlocal condition for higher-order pseudoparabolic equations

    Dokl. Akad. Nauk SSSR, 297:3 (1987),  547–552
  66. A mixed problem of the plane theory of elasticity in regions with a piecewise-smooth boundary

    Differ. Uravn., 23:1 (1987),  161–168
  67. An analogue of an integral of Cauchy type for elliptic systems

    Dokl. Akad. Nauk SSSR, 289:4 (1986),  800–804
  68. Asymptotic behavior of solutions of singular integral equations

    Differ. Uravn., 22:1 (1986),  143–153
  69. The algebra of $\mathscr{B}$ singular operators

    Dokl. Akad. Nauk SSSR, 282:6 (1985),  1312–1316
  70. On a Riemann–Hilbert problem with a shift

    Dokl. Akad. Nauk SSSR, 266:2 (1982),  291–294
  71. On a class of singular integral operators on the line with one-sided shift

    Differ. Uravn., 18:1 (1982),  127–131
  72. Algebra of singular integral operators with shift-contraction on the half line

    Differ. Uravn., 17:1 (1981),  137–149
  73. A problem of linear conjunction with a shift on a piecewise smooth line in weighted spaces

    Dokl. Akad. Nauk SSSR, 253:5 (1980),  1050–1055
  74. Singular operators with a shift on a piecewise smooth line in weighted spaces

    Dokl. Akad. Nauk SSSR, 252:3 (1980),  555–559
  75. Singular integral operators on the line

    Differ. Uravn., 16:1 (1980),  135–144
  76. On the theory of singular integral operators of classical type

    Differ. Uravn., 15:3 (1979),  529–544
  77. A duality category in the theory of Noetherian operators

    Differ. Uravn., 15:2 (1979),  303–309
  78. On the theory of singular operators with a shift

    Differ. Uravn., 15:1 (1979),  116–131
  79. A boundary value problem of linear conjugation in the theory of functions

    Izv. Akad. Nauk SSSR Ser. Mat., 43:1 (1979),  184–202
  80. On the Noether theory of singular operators of general form

    Dokl. Akad. Nauk SSSR, 238:5 (1978),  1067–1070
  81. On the Noether theory of operators

    Dokl. Akad. Nauk SSSR, 238:2 (1978),  281–284
  82. On the Noether theory of operators. One-dimensional singular integral operators of classical type

    Differ. Uravn., 14:7 (1978),  1285–1295
  83. On the Noether theory of operators. One-dimensional singular integral operators of general form

    Differ. Uravn., 14:4 (1978),  706–718
  84. On the Noether theory of operators. Wiener imbeddings of $B$-algebras

    Differ. Uravn., 14:1 (1978),  104–115
  85. On the theory of singular integro-functional operators

    Differ. Uravn., 13:1 (1977),  140–154
  86. A certain class of singular integral equations with a shift of non-Carleman type

    Differ. Uravn., 11:1 (1975),  137–150
  87. Solution of a certain boundary value problem with shift in the theory of functions

    Differ. Uravn., 10:1 (1974),  143–152
  88. A certain problem of the theory of functions

    Differ. Uravn., 9:2 (1973),  325–332
  89. The uniqueness of the solution of a certain problem of A. V. Bicadze

    Differ. Uravn., 8:1 (1972),  143–146

  90. Sultan Nazhmudinovich Askhabov (on the 70-th anniversary of his birth)

    Chebyshevskii Sb., 25:2 (2024),  5–19
  91. Vladimir Mikhailovich Filippov

    CMFD, 67:3 (2021),  423–426
  92. Stefan Grigorievich Samko (on the occasion of his 80th birthday)

    Vladikavkaz. Mat. Zh., 23:3 (2021),  126–129
  93. Sergey Grigorievich Pyatkov (on 65th birthday)

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:1 (2021),  131–133
  94. Alexey Borisovich Shabat (on his 80's anniversary)

    Vladikavkaz. Mat. Zh., 19:3 (2017),  83–85
  95. On the centenary of the birth of A. V. Bitsadze

    Sib. J. Pure and Appl. Math., 17:3 (2017),  3–7
  96. Shabat Aleksei Borisovich (on his 75th birthday)

    Vladikavkaz. Mat. Zh., 14:2 (2012),  71–73
  97. Alexander Kozhanov (to the $60^{th}$ anniversary)

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 14,  187–189
  98. In Memory of Anatoliy A. Kilbas

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010),  6–9


© Steklov Math. Inst. of RAS, 2025