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Èidel'man Samuil Davidovich

Publications in Math-Net.Ru

  1. On the integral representation of solutions of Kolmogorov-type degenerate equations with $\vec{2b}$-parabolic part with respect to the main group of variables-parabolic part with respect to the main group of variables

    Differ. Uravn., 36:5 (2000),  647–655
  2. On the Cauchy problem for degenerate Kolmogorov type equations with $\vec{2b}$-parabolic part with respect to the main group of variables-parabolic part with respect to the main group of variables

    Differ. Uravn., 36:4 (2000),  527–536
  3. On the fundamental solutions of the Cauchy problem for degenerate equations of Kolmogorov type with a $\overrightarrow{2b}$-parabolic part with respect to the main group of variables

    Differ. Uravn., 34:11 (1998),  1536–1545
  4. Theorems on the asymptotic proximity of fundamental solutions of parabolic equations

    Dokl. Akad. Nauk, 344:5 (1995),  586–589
  5. Positive solutions of second-order quasilinear elliptic equations

    Dokl. Akad. Nauk, 334:4 (1994),  427–428
  6. Positive solutions of some quasilinear equations

    Dokl. Akad. Nauk, 331:3 (1993),  278–280
  7. Properties of solutions of second-order parabolic equations with lower-order terms

    Tr. Mosk. Mat. Obs., 54 (1992),  118–159
  8. Parabolic equations

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 63 (1990),  201–313
  9. A multi-dimensional variant of a problem of A. N. Tikhonov

    Dokl. Akad. Nauk SSSR, 299:5 (1988),  1056–1059
  10. Automata. Walks. Games

    Uspekhi Mat. Nauk, 43:1(259) (1988),  87–122
  11. Properties of weak fundamental solutions of parabolic equations with lower-order derivatives

    Dokl. Akad. Nauk SSSR, 288:4 (1986),  827–831
  12. Analysis of the functioning of Markov automata in random environments

    Dokl. Akad. Nauk SSSR, 287:5 (1986),  1084–1088
  13. Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications

    Uspekhi Mat. Nauk, 39:3(237) (1984),  107–156
  14. Theorems on the asymptotic proximity of solutions of many-dimensional parabolic second-order equations

    Uspekhi Mat. Nauk, 35:1(211) (1980),  211–212
  15. On conditions on the boundary surface in the theory of elliptic boundary value problems

    Dokl. Akad. Nauk SSSR, 246:4 (1979),  812–815
  16. Necessary and sufficient conditions for stabilization of the solutions of model parabolic boundary value problems

    Dokl. Akad. Nauk SSSR, 244:4 (1979),  809–813
  17. The asymptotic behavior of classical and generalized solutions of one- dimensional second-order parabolic equations

    Tr. Mosk. Mat. Obs., 36 (1978),  85–130
  18. On nonnegative solutions of overdetermined systems of partial differential equations

    Dokl. Akad. Nauk SSSR, 237:3 (1977),  513–516
  19. The membership of solutions of quasielliptic equations to space $L_p$

    Mat. Zametki, 21:4 (1977),  519–524
  20. On the summability of positive solutions of partial differential equations of arbitrary order in a neighborhood of a characteristic manifold

    Mat. Sb. (N.S.), 99(141):4 (1976),  582–593
  21. The uniqueness of the solution of the Cauchy problem, and asymptotic uniqueness for the positive solutions of partial differential equations

    Sibirsk. Mat. Zh., 17:5 (1976),  993–1013
  22. A necessary and sufficient condition for the stabilization of positive solutions of the heat equation

    Sibirsk. Mat. Zh., 17:4 (1976),  744–756
  23. Theorems on the proximity of solutions of parabolic equations and the stabilization of the solution of the Cauchy problem

    Dokl. Akad. Nauk SSSR, 221:1 (1975),  32–35
  24. The fundamental solutions and stabilization of the solution to the Cauchy problem for a certain class of degenerate parabolic equations

    Differ. Uravn., 11:7 (1975),  1316–1330
  25. Positive solutions of linear partial differential equations

    Tr. Mosk. Mat. Obs., 31 (1974),  85–146
  26. Biharmonic functions, nonnegative in a half-strip

    Mat. Zametki, 15:1 (1974),  121–128
  27. The mixed problem in a quarter space for systems of equations with constant coefficients which are correct in the sense of I. G. Petrovskii

    Sibirsk. Mat. Zh., 15:2 (1974),  332–342
  28. A closed solution of an integral equation that arises in the technology of magnetic sound recording

    Zh. Vychisl. Mat. Mat. Fiz., 14:6 (1974),  1593–1595
  29. Asymptotic uniqueness theorems for positive solutions of linear evolutionary systems

    Dokl. Akad. Nauk SSSR, 211:2 (1973),  269–272
  30. Positive solutions of parabolic systems and their integral representations

    Dokl. Akad. Nauk SSSR, 208:4 (1973),  787–790
  31. An investigation of the behavior of $L_2$-norms of the solutions of strongly parabolic systems with dissipation

    Izv. Akad. Nauk SSSR Ser. Mat., 37:3 (1973),  676–690
  32. On positive solutions of partial differential equations in a neighborhood of a smooth noncharacteristic hypersurface

    Dokl. Akad. Nauk SSSR, 204:2 (1972),  279–282
  33. Positive solutions of linear quasielliptic evolution equations

    Mat. Sb. (N.S.), 89(131):1(9) (1972),  16–45
  34. On boundary value problems for second-order parabolic and elliptic equations in Dini spaces

    Dokl. Akad. Nauk SSSR, 198:3 (1971),  533–536
  35. On the asymptotic behavior of solutions of parabolic systems with dissipation

    Dokl. Akad. Nauk SSSR, 197:2 (1971),  299–302
  36. Boundary value problems for Petrovskiǐ well-posed equations of positive genus in the plane

    Differ. Uravn., 7:10 (1971),  1854–1868
  37. The behavior of solutions of second order parabolic equations with dissipation

    Differ. Uravn., 7:9 (1971),  1684–1695
  38. Region of positivity of solutions of elliptic equations

    Mat. Zametki, 9:1 (1971),  83–87
  39. On positive solutions of elliptic equations

    Mat. Sb. (N.S.), 85(127):4(8) (1971),  586–609
  40. Solvability of boundary value problems on the plane for systems with constant coefficients that are well posed in the sense of I. G. Petrovskii

    Sibirsk. Mat. Zh., 12:6 (1971),  1354–1362
  41. The summability of positive solutions of elliptic equations of arbitrary order

    Dokl. Akad. Nauk SSSR, 193:4 (1970),  760–763
  42. Three cylinder theorems for the solutions of quasielliptic linear evolution equations

    Dokl. Akad. Nauk SSSR, 192:3 (1970),  507–510
  43. The uniqueness of the solution of the Cauchy problem for linear evolutionary systems with variable coefficients

    Dokl. Akad. Nauk SSSR, 190:5 (1970),  1026–1029
  44. An initial value problem for systems with constant coefficients

    Differ. Uravn., 6:11 (1970),  2062–2073
  45. Investigation of the Green's matrix of a homogeneous parabolic boundary value problem

    Tr. Mosk. Mat. Obs., 23 (1970),  179–234
  46. Properties of solutions of linear evolutionary systems with elliptic space part

    Mat. Sb. (N.S.), 81(123):3 (1970),  398–429
  47. The nature of the solutions of linear evolutionary systems with elliptic spatial part

    Dokl. Akad. Nauk SSSR, 189:3 (1969),  468–471
  48. Certain properties of the positive solutions of evolutionary hypoelliptic equations

    Dokl. Akad. Nauk SSSR, 184:5 (1969),  1027–1030
  49. The Green's matrix of a homogeneous parabolic boundary value problem for systems with discontinuous coefficients

    Dokl. Akad. Nauk SSSR, 183:4 (1968),  797–800
  50. Estimates of the Green's matrix for a homogeneous parabolic boundary value problem

    Dokl. Akad. Nauk SSSR, 172:6 (1967),  1262–1265
  51. A new proof of the theorem on the stabilization of the solution of the Cauchy problem for the heat equation

    Mat. Sb. (N.S.), 73(115):1 (1967),  155–159
  52. Necessary and sufficient conditions for establishing a solution to the Cauchy problem

    Dokl. Akad. Nauk SSSR, 167:2 (1966),  298–301
  53. On the theory of parabolic potentials

    Dokl. Akad. Nauk SSSR, 166:5 (1966),  1050–1053
  54. On parabolic systems with coefficients satisfying Dini's condition

    Dokl. Akad. Nauk SSSR, 165:3 (1965),  482–485
  55. Boundary-value problems for parabolic systems in regions of general type

    Dokl. Akad. Nauk SSSR, 150:1 (1963),  58–61
  56. Continuation of the solution of the Cauchy problem for parabolic systems

    Dokl. Akad. Nauk SSSR, 149:6 (1963),  1274–1277
  57. On the theory of general boundary-value problems for parabolic systems

    Dokl. Akad. Nauk SSSR, 149:4 (1963),  792–795
  58. Boundary-value problems for parabolic systems in a half-space

    Dokl. Akad. Nauk SSSR, 142:4 (1962),  812–814
  59. Application of the averaging principle to second-order, quasi-linear systems

    Sibirsk. Mat. Zh., 3:2 (1962),  302–307
  60. Cauchy problem for a class of non-linear parabolic systems

    Dokl. Akad. Nauk SSSR, 136:2 (1961),  304–307
  61. Liouville theorems for systems which are parabolic in the sense of G. E. S̆ilov

    Izv. Vyssh. Uchebn. Zaved. Mat., 1961, no. 6,  169–179
  62. On fundamental solutions of parabolic systems. II

    Mat. Sb. (N.S.), 53(95):1 (1961),  73–136
  63. On a class of parabolic systems

    Dokl. Akad. Nauk SSSR, 133:1 (1960),  40–43
  64. On the stabilization of the solution of the Cauchy problem for parabolic systems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 4,  210–217
  65. Investigation in the theory of parabolic systems (summary of the doctor's Thesis)

    Uspekhi Mat. Nauk, 15:1(91) (1960),  251–256
  66. On the validity of Liouville's theorems for the solutions of parabolic systems

    Uspekhi Mat. Nauk, 15:1(91) (1960),  233–234
  67. An integral maximum principle for strongly parabolic systems and some applications

    Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 2,  252–258
  68. Fundamental matrices of the solutions of general parabolic systems

    Dokl. Akad. Nauk SSSR, 120:5 (1958),  980–983
  69. On a class of regular systems of partial differential equations

    Uspekhi Mat. Nauk, 13:4(82) (1958),  205–209
  70. Liouville theorems and theorems on stability for solutions of parabolic systems

    Mat. Sb. (N.S.), 44(86):4 (1958),  481–508
  71. Cauchy problem for non-linear and quasilinear parabolic systems

    Dokl. Akad. Nauk SSSR, 116:6 (1957),  930–932
  72. Some theorems on the stability of the solutions of parabolic systems

    Dokl. Akad. Nauk SSSR, 115:2 (1957),  253–255
  73. On regular and parabolic systems of partial differential equations

    Uspekhi Mat. Nauk, 12:1(73) (1957),  254–257
  74. Behavior of solutions of the heat equation in the neighborhood of an isolated singular point

    Uspekhi Mat. Nauk, 11:3(69) (1956),  207–210
  75. On an integral equation with nonregular kernel

    Uspekhi Mat. Nauk, 11:1(67) (1956),  235–239
  76. On a theorem of Liouville

    Mat. Sb. (N.S.), 40(82):3 (1956),  273–280
  77. On fundamental solutions of parabolic systems

    Mat. Sb. (N.S.), 38(80):1 (1956),  51–92
  78. On a connection between the fundamental matrices of solutions of parabolic and elliptic systems

    Mat. Sb. (N.S.), 35(77):1 (1954),  57–72
  79. Оценки решений параболических систем и некоторые их приложения

    Mat. Sb. (N.S.), 33(75):2 (1953),  359–382

  80. Georgii Isaakovich Kats (obituary)

    Uspekhi Mat. Nauk, 34:2(206) (1979),  185–188
  81. Aleksandr Vladimirovich Tovbin (1915–1943)

    Uspekhi Mat. Nauk, 25:3(153) (1970),  246–247
  82. Corrections to the paper “On fundamental solutions of parabolic systems. II”

    Mat. Sb. (N.S.), 58(100):1 (1962),  128

© Steklov Math. Inst. of RAS, 2024