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Anikonov Yurii Evgenievich

Publications in Math-Net.Ru

  1. Multidimensional Hopf equation and some exact solutions

    Sib. Zh. Ind. Mat., 25:1 (2022),  5–13
  2. On the determination of the velocity and elastic parameters of the focal zone medium from the earthquake hodographs

    Sib. Zh. Ind. Mat., 24:4 (2021),  5–24
  3. Some representations of solutions to Blokhintsev equation

    Sib. Èlektron. Mat. Izv., 17 (2020),  1697–1709
  4. Formulas in the theory of identification

    Sib. Èlektron. Mat. Izv., 17 (2020),  1522–1539
  5. A uniqueness theorem for an inverse kinematic seismic problem

    Sib. Zh. Ind. Mat., 23:1 (2020),  5–10
  6. Ray expansions and identification questions for Navie–Stockes equations

    Sib. Èlektron. Mat. Izv., 16 (2019),  1567–1580
  7. On a method of studying identification problems for second order equations

    Sib. Zh. Ind. Mat., 22:1 (2019),  13–23
  8. Remarks on identification theory

    Sib. Èlektron. Mat. Izv., 15 (2018),  1091–1102
  9. Generalized Cole–Hopf transformation

    Sib. Zh. Ind. Mat., 21:3 (2018),  18–25
  10. Operator formulas for differential-difference equations with applications to identification

    Sib. Zh. Ind. Mat., 21:1 (2018),  3–10
  11. Functional equations and identification problems

    Sib. J. Pure and Appl. Math., 18:2 (2018),  3–12
  12. Ray method and questions of identification of the elasticity theory equations

    Sib. J. Pure and Appl. Math., 18:1 (2018),  11–27
  13. Operator formulae in the inverse problems for evolution equations

    Sib. J. Pure and Appl. Math., 17:3 (2017),  8–16
  14. Ray expansions and identities for the second order equations with applications to inverse problems

    Sib. J. Pure and Appl. Math., 17:1 (2017),  3–16
  15. On some problems of mathematical physics with variable parameter

    Sib. J. Pure and Appl. Math., 16:1 (2016),  3–13
  16. The method of differential relations and nonlinear inverse problems

    Sib. Zh. Ind. Mat., 18:2 (2015),  36–47
  17. Some remarks on functional equations and on their applications

    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:4 (2015),  12–23
  18. On inverse problems in classes of entire functions

    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:3 (2015),  11–23
  19. Algebra-analytical ways of constructing solutions of differential equations and inverse problems

    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:2 (2015),  3–21
  20. Differential identities for nonlinear equations with partial derivatives

    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:1 (2015),  21–28
  21. The Hopf–Cole transformation and multidimensional representations of solutions to evolution equations

    Sib. Zh. Ind. Mat., 17:4 (2014),  31–37
  22. Differential identities for partial differential equations

    Sib. Zh. Ind. Mat., 17:2 (2014),  11–17
  23. Representation of solutions to functional and evolution equations and identification problems

    Sib. Èlektron. Mat. Izv., 10 (2013),  591–614
  24. Representations for the solutions and coefficients of evolution equations

    Sib. Zh. Ind. Mat., 16:2 (2013),  40–49
  25. Inversion of mapping and inverse problems

    Sib. Èlektron. Mat. Izv., 9 (2012),  382–432
  26. On inverse problems for equations of mathematical physics with parameter

    Sib. Èlektron. Mat. Izv., 9 (2012),  45–64
  27. Representations for the solutions and coefficients of second-order differential equations

    Sib. Zh. Ind. Mat., 15:4 (2012),  17–23
  28. Formulas in a problem of the search of the symbol of an linear operator

    Sib. Èlektron. Mat. Izv., 8 (2011),  163–167
  29. On analytical methods in the theory of inverse problems for hyperbolic equations. II

    Sib. Zh. Ind. Mat., 14:2 (2011),  28–33
  30. On analytical methods in the theory of inverse problems for hyperbolic equations. I

    Sib. Zh. Ind. Mat., 14:1 (2011),  27–39
  31. On Analytical Methods in the Theory of Inverse Problems of Parabolic Equations

    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:3 (2011),  20–35
  32. Certain Criterion for the Horizontal Homogeneity of a Medium in Inverse Kinematic Problem of Seismics

    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:3 (2011),  3–19
  33. On analytical methods in the theory of inverse problems of mathematical physics

    Sib. Èlektron. Mat. Izv., 7 (2010),  11–61
  34. Constructive methods in nonlinear control theory problems

    Sib. Zh. Ind. Mat., 13:2 (2010),  30–45
  35. Presentations of Solutions, Coefficients and Symbols of Operator of Evolution Equations and Inverse Problems

    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:2 (2010),  25–36
  36. Inverse problems for evolution equations

    Sib. Èlektron. Mat. Izv., 5 (2008),  549–580
  37. Конструктивные методы исследования обратных задач для эволюционных уравнений

    Sib. Zh. Ind. Mat., 11:2 (2008),  3–20
  38. Some Inverse Problems for the Quantum Kinetic Equation

    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 8:4 (2008),  13–22
  39. An identity for approximate quantum equations, and inverse problems

    Sib. Zh. Ind. Mat., 10:4 (2007),  3–9
  40. On one method of investigation of inverse problems

    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 7:4 (2007),  3–8
  41. Numerical solution of an inverse kinematic seismic problem with internal sources

    Sib. Zh. Ind. Mat., 9:4 (2006),  3–26
  42. Analytic representations of solutions of multidimensional inverse problems for evolution equations

    Dokl. Akad. Nauk, 351:2 (1996),  151–154
  43. Formulas in an inverse problem for an evolution equation

    Sibirsk. Mat. Zh., 37:5 (1996),  963–976
  44. Formulas for solutions and coefficients of second-order differential equations

    Sibirsk. Mat. Zh., 37:3 (1996),  483–491
  45. Mathematical simulation of ethnic processes

    Dokl. Akad. Nauk, 345:1 (1995),  7–9
  46. Relations associated with problems in tomography

    Dokl. Akad. Nauk, 342:2 (1995),  167–168
  47. Formulas in the inverse problem for the kinetic equation

    Dokl. Akad. Nauk, 340:1 (1995),  5–6
  48. Formulas in inverse problems for differential equations and inequalities

    Dokl. Akad. Nauk, 337:1 (1994),  23–24
  49. Formulas in a multidimensional inverse problem for an evolution equation

    Dokl. Akad. Nauk, 334:3 (1994),  263–264
  50. The geometry of convex surfaces and inverse problems of scattering theory

    Sibirsk. Mat. Zh., 35:5 (1994),  955–973
  51. Reduction of multidimensional inverse problems to initial-boundary value problems in Hilbert spaces

    Sibirsk. Mat. Zh., 35:3 (1994),  495–514
  52. Methods for studying multidimensional inverse problems for evolution equations

    Dokl. Akad. Nauk, 331:4 (1993),  409–412
  53. An estimate in a problem of integral geometry

    Dokl. Akad. Nauk, 330:4 (1993),  405–406
  54. Some algebraic questions in the theory of multidimensional inverse problems for nonlinear evolution equations

    Dokl. Akad. Nauk, 324:2 (1992),  303–308
  55. Multidimensional inverse problems for evolution equations with discrete time

    Dokl. Akad. Nauk, 323:6 (1992),  1078–1082
  56. Distribution functions, evolution equations and inverse problems

    Dokl. Akad. Nauk, 323:5 (1992),  871–875
  57. An inverse problem in mathematical biology

    Sibirsk. Mat. Zh., 33:3 (1992),  21–25
  58. Formulas in inverse problems for second-order equations

    Dokl. Akad. Nauk SSSR, 320:4 (1991),  848–850
  59. Formulas for solutions of some inverse problems for evolution equations

    Dokl. Akad. Nauk SSSR, 319:5 (1991),  1117–1119
  60. Inverse problems in mathematical physics and biology

    Dokl. Akad. Nauk SSSR, 318:6 (1991),  1350–1354
  61. Representations of solutions of equations with variable coefficients, and inverse problems

    Dokl. Akad. Nauk SSSR, 318:5 (1991),  1145–1148
  62. An inversion formula in a problem of integral geometry

    Dokl. Akad. Nauk SSSR, 318:2 (1991),  265–266
  63. The Radon transformation with variable absorption

    Dokl. Akad. Nauk SSSR, 316:1 (1991),  93–95
  64. Relations in some inverse problems for nonlinear equations

    Dokl. Akad. Nauk SSSR, 315:4 (1990),  850–853
  65. Inverse problems for nonlinear equations, and synergetics

    Dokl. Akad. Nauk SSSR, 315:2 (1990),  355–358
  66. Some relations in inverse problems for kinetic equations

    Dokl. Akad. Nauk SSSR, 313:2 (1990),  309–312
  67. Formulas in multidimensional inverse problems for evolution equations

    Dokl. Akad. Nauk SSSR, 312:1 (1990),  11–14
  68. On the singlevalued solution of inverse problem for quantum kinetic equation

    Mat. Sb., 181:1 (1990),  68–74
  69. Integral geometry and the structure of Riemannian spaces

    Dokl. Akad. Nauk SSSR, 307:3 (1989),  521–523
  70. Single-valued solvability of an inverse problem for a parabolic equation

    Dokl. Akad. Nauk SSSR, 306:6 (1989),  1289–1293
  71. A linear system of equations of a transport theory that does not contain cross sections or a scattering indicatrix

    Dokl. Akad. Nauk SSSR, 305:2 (1989),  319–322
  72. Control problems and inverse problems

    Dokl. Akad. Nauk SSSR, 304:2 (1989),  309–312
  73. Inverse problems of transport theory

    Dokl. Akad. Nauk SSSR, 299:5 (1988),  1037–1040
  74. Existence and uniqueness of the solution of an inverse problem for a parabolic equation

    Dokl. Akad. Nauk SSSR, 298:4 (1988),  777–779
  75. Multidimensional inverse problems for kinetic equations

    Dokl. Akad. Nauk SSSR, 277:4 (1984),  779–781
  76. A criterion for two-dimensional Riemann spaces of zero curvature

    Mat. Zametki, 35:6 (1984),  841–845
  77. A uniqueness theorem for the solution of an inverse problem for a kinetic equation

    Dokl. Akad. Nauk SSSR, 272:6 (1983),  1292–1293
  78. Solutions of a class of converse problems

    Mat. Zametki, 33:2 (1983),  247–250
  79. The inverse problem for the Vlasov equation

    Dokl. Akad. Nauk SSSR, 265:5 (1982),  1037–1039
  80. Uniqueness and stability of the solution of a problem of geometry in the large

    Mat. Sb. (N.S.), 116(158):4(12) (1981),  539–546
  81. On an inverse problem for the system of dynamical equations of elasticity theory

    Dokl. Akad. Nauk SSSR, 253:5 (1980),  1086–1087
  82. An inverse kinematic problem of seismology and some questions of stellar dynamics

    Dokl. Akad. Nauk SSSR, 252:1 (1980),  14–17
  83. Uniqueness of the solution of integral equations of the first kind with entire kernels

    Mat. Zametki, 28:3 (1980),  401–405
  84. Formulas and inequalities in an inverse kinematic problem

    Dokl. Akad. Nauk SSSR, 245:3 (1979),  521–523
  85. Uniqueness of the solution of the inverse problems in classes of entire functions

    Funktsional. Anal. i Prilozhen., 13:4 (1979),  57–58
  86. A uniqueness theorem for the solution of the inverse problem for a quasilinear hyperbolic equation

    Differ. Uravn., 12:12 (1976),  2265–2266
  87. A uniqueness theorem for solutions to an inverse problem for the wave equation

    Mat. Zametki, 19:2 (1976),  211–214
  88. On the solvability of a problem in integral geometry

    Mat. Sb. (N.S.), 101(143):2(10) (1976),  271–279
  89. On the problem of determining the Riemannian metric $ds^2=\lambda^2(x)|dx|^2$

    Mat. Zametki, 16:4 (1974),  611–617
  90. The uniqueness of the solution of integral equations of the first kind

    Mat. Zametki, 14:4 (1973),  493–498
  91. Determination of the metric of a Liouville surface

    Sibirsk. Mat. Zh., 14:6 (1973),  1338–1340
  92. On operator equations of the first kind

    Dokl. Akad. Nauk SSSR, 207:2 (1972),  257–258
  93. On a problem of defining a Riemannian metric

    Dokl. Akad. Nauk SSSR, 204:6 (1972),  1287–1288
  94. Unique determination of a convex surface and of a function defined on it

    Mat. Zametki, 12:4 (1972),  421–424
  95. An inverse problem for an ordinary second-order differential equation

    Mat. Zametki, 12:2 (1972),  163–166
  96. A certain class of operator equations

    Sibirsk. Mat. Zh., 13:6 (1972),  1383–1386
  97. Approximate solution of some nonlinear operator equations

    Dokl. Akad. Nauk SSSR, 200:4 (1971),  770–772
  98. Level surfaces of a function defining a Riemann metric

    Mat. Zametki, 9:6 (1971),  709–711
  99. Uniqueness theorems for certain problems of variational calculus

    Sibirsk. Mat. Zh., 12:1 (1971),  212–215
  100. A uniqueness theorem for a certain variational problem

    Sibirsk. Mat. Zh., 11:2 (1970),  461–463
  101. Uniqueness theorem for convex surfaces

    Mat. Zametki, 6:1 (1969),  115–117
  102. Remarks on convex surfaces

    Sibirsk. Mat. Zh., 9:6 (1968),  1413–1415
  103. A certain class of problems in integral geometry

    Dokl. Akad. Nauk SSSR, 176:5 (1967),  1002–1003

  104. Mikhail Mikhaĭlovich Lavrent'ev

    Sib. Zh. Ind. Mat., 13:3 (2010),  3–5
  105. Mikhail Mikhailovich Lavrent'ev (on the occasion of his seventieth birthday)

    Sib. Zh. Ind. Mat., 5:2 (2002),  3–6
  106. Mikhail Mikhailovich Lavrent'ev (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 47:3(285) (1992),  183–185
  107. On the occasion of the fiftieth birthday of Academician M. M. Lavrent'ev

    Sibirsk. Mat. Zh., 23:5 (1982),  3–4

© Steklov Math. Inst. of RAS, 2024