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Khapaev Mikhail Mikhailovich

Publications in Math-Net.Ru

  1. Numerical simulation of atmospheric electricity problem with unknown ionosphere potential

    Num. Meth. Prog., 24:3 (2023),  305–315
  2. Application of the variational method for solving inverse problems of optimal control

    Dokl. Akad. Nauk, 483:4 (2018),  370–373
  3. Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint

    Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1750–1753
  4. Revised solution of ill-posed algebraic systems for noise data

    Comp. nanotechnol., 2015, no. 2,  14–19
  5. On the Computation of Eigenfunctions and Eigenvalues in the Sturm–Liouville Problem

    Mat. Zametki, 97:4 (2015),  604–608
  6. Reconstruction of periodic functions from noisy input data

    Dokl. Akad. Nauk, 424:4 (2009),  452–454
  7. Resonance effects in the field of a stationary electromagnetic wave and a constant magnetic field

    TMF, 142:1 (2005),  64–71
  8. Construction of the Solution of an Ill-Posed Singularly Perturbed Problem for the Heat Equation with a Nonlinearity

    Differ. Uravn., 40:6 (2004),  848–849
  9. Constructing Solutions of an Ill-Posed Nonlinear Singularly Perturbed Problem for an Equation of Elliptic Type

    Mat. Zametki, 73:2 (2003),  318–320
  10. On one ill-posed singularly perturbed problem

    Fundam. Prikl. Mat., 8:4 (2002),  1251–1254
  11. An algorithm for solving the conditional extremum problem

    Differ. Uravn., 35:3 (1999),  310–312
  12. Differential equations that contain singular manifolds in control and minimization problems

    Differ. Uravn., 31:11 (1995),  1886–1892
  13. On the partial stability of nonlinear systems of ordinary differential equations with a small parameter

    Differ. Uravn., 31:3 (1995),  371–381
  14. Singular differential equations in control and minimization problems

    Trudy Mat. Inst. Steklov., 211 (1995),  411–418
  15. On taking into account measurement errors by the mathematical processing of them according to the Gauss least squares method

    Dokl. Akad. Nauk, 330:4 (1993),  444
  16. On the stability of nonlinear systems with a small parameter

    Differ. Uravn., 29:8 (1993),  1301–1307
  17. Singular differential equations in control problems with constraints

    Dokl. Akad. Nauk, 324:6 (1992),  1166–1168
  18. Singular differential equations in problems on the investigation of functions for a conditional extremum

    Dokl. Akad. Nauk, 323:2 (1992),  250–252
  19. The method of Lyapunov functions for systems with perturbations

    Differ. Uravn., 28:12 (1992),  2027–2029
  20. Conditions for the controllability of singularly perturbed systems that contain singular controls

    Dokl. Akad. Nauk SSSR, 320:2 (1991),  300–302
  21. On the problem of the washing out of admixtures from a cavity

    Dokl. Akad. Nauk SSSR, 317:6 (1991),  1373–1375
  22. Modelling of micromagnetic structures

    Matem. Mod., 3:11 (1991),  12–38
  23. On the determination of averaged physical parameters in periodic media

    Dokl. Akad. Nauk SSSR, 315:4 (1990),  857–859
  24. On the evolution of planetary orbits

    Dokl. Akad. Nauk SSSR, 312:3 (1990),  599–603
  25. On the nonlinear dynamics of a domain boundary

    Dokl. Akad. Nauk SSSR, 311:6 (1990),  1351–1355
  26. Averaging of differential inclusions with ‘fast’ and ‘slow’ variables

    Mat. Zametki, 47:6 (1990),  102–109
  27. Mutual $\varepsilon$-approximation of solutions of a system of differential inclusions and of the averaged

    Mat. Zametki, 47:5 (1990),  127–134
  28. Employing the methods from the theory of singularly perturbed systems to an analysis of the conditions under which a magnetic field is frozen into an electron fluid

    Prikl. Mekh. Tekh. Fiz., 31:4 (1990),  3–10
  29. Modelling of $3$-dimensional periodic structures in ferromagnetic films

    Dokl. Akad. Nauk SSSR, 305:4 (1989),  831–834
  30. The comparison method and investigation of the stability of systems of ordinary differential equations containing perturbations. II

    Differ. Uravn., 25:2 (1989),  187–192
  31. Investigation of singularly perturbed equations that describe nonlinear magneto-acoustic waves

    Dokl. Akad. Nauk SSSR, 303:1 (1988),  74–77
  32. On the suppression of soliton-like solutions of shallow water equations by the outstripping resistance

    Dokl. Akad. Nauk SSSR, 300:5 (1988),  1052–1059
  33. Properties of the solution of a nonlinear variational problem

    Differ. Uravn., 24:7 (1988),  1274–1276
  34. Stability of differential inclusions with multivalued perturbations

    Mat. Zametki, 43:3 (1988),  346–355
  35. On the evolution and stability of soliton-like solutions of perturbed equations of Boussinesq type

    Dokl. Akad. Nauk SSSR, 292:1 (1987),  68–73
  36. Some methods in perturbation theory connected with averaging

    Differ. Uravn., 23:10 (1987),  1693–1704
  37. Construction of perturbations of Lyapunov functions and an investigation of stability under small random actions

    Differ. Uravn., 23:4 (1987),  675–680
  38. Asymptotic behavior of solutions of differential equations with perturbations

    Dokl. Akad. Nauk SSSR, 290:4 (1986),  800–805
  39. Singularly perturbed systems containing singular manifolds

    Dokl. Akad. Nauk SSSR, 287:1 (1986),  99–103
  40. Analysis of plasma hydrodynamic equations by the methods of singularly perturbed systems

    Dokl. Akad. Nauk SSSR, 286:3 (1986),  602–605
  41. The comparison method and investigation of the stability of systems of ordinary differential equations containing perturbations

    Differ. Uravn., 22:9 (1986),  1604–1606
  42. Extremal properties of the Lyapunov function on unstable resonance regimes in the multifrequency case

    Differ. Uravn., 22:8 (1986),  1463–1466
  43. A class of methods for studying the asymptotic behavior of the solutions of differential equations with closed operators

    Differ. Uravn., 22:2 (1986),  255–267
  44. Investigation of the stability of systems containing perturbations

    Dokl. Akad. Nauk SSSR, 283:4 (1985),  810–813
  45. A generalization of Lyapunov's second method and an investigation of the stability of applied problems

    Differ. Uravn., 21:10 (1985),  1730–1733
  46. An algorithm for the integration of singularly perturbed systems

    Dokl. Akad. Nauk SSSR, 278:6 (1984),  1313–1315
  47. A. N. Tikhonov's theorem for singularly perturbed systems

    Dokl. Akad. Nauk SSSR, 271:5 (1983),  1074–1077
  48. The averaging principle for systems with “fast” and “slow” variables

    Differ. Uravn., 19:9 (1983),  1640–1643
  49. On linear systems of ordinary differential equations

    Dokl. Akad. Nauk SSSR, 266:2 (1982),  299–301
  50. Multifrequency systems that have lag

    Differ. Uravn., 18:2 (1982),  354–356
  51. On averaging and stability in systems with singularities

    Dokl. Akad. Nauk SSSR, 261:1 (1981),  67–70
  52. Stability of resonance problems

    Differ. Uravn., 17:5 (1981),  949–953
  53. On the investigation of stability in systems of integrodifferential equations by the averaging method

    Dokl. Akad. Nauk SSSR, 250:2 (1980),  295–299
  54. Problems of stability in systems of ordinary differential equations

    Uspekhi Mat. Nauk, 35:1(211) (1980),  127–170
  55. Stability in systems of ordinary differential equations with almost periodic coefficients

    Differ. Uravn., 15:7 (1979),  1216–1224
  56. On the investigation of stability in systems of ordinary differential equations with almost-periodic coefficients

    Dokl. Akad. Nauk SSSR, 240:5 (1978),  1028–1031
  57. A study of stability in the three body problem on the basis of a hydrodynamical model of the planets

    Dokl. Akad. Nauk SSSR, 231:5 (1976),  1092–1095
  58. On averaging in multifrequency systems

    Dokl. Akad. Nauk SSSR, 217:5 (1974),  1021–1024
  59. A stability analysis of resonance problems

    Differ. Uravn., 10:3 (1974),  447–457
  60. A generalization of Ljapunov's second method

    Differ. Uravn., 9:11 (1973),  2020–2028
  61. Stability in the problem of three bodies

    Dokl. Akad. Nauk SSSR, 195:2 (1970),  300–302
  62. Generalization of Ljapunov’s second method and the investigation of some resonance problems

    Dokl. Akad. Nauk SSSR, 193:1 (1970),  46–49
  63. The stability of the state of equilibrium of systems of differential equations

    Differ. Uravn., 5:5 (1969),  848–855
  64. Instability under constantly acting perturbations

    Dokl. Akad. Nauk SSSR, 178:1 (1968),  47–50
  65. Investigation of stability in the theory of nonlinear oscillations

    Mat. Zametki, 3:3 (1968),  307–318
  66. A theorem of Ljapunov type

    Dokl. Akad. Nauk SSSR, 176:6 (1967),  1262–1265
  67. On the averaging method in certain problems connected with averaging

    Differ. Uravn., 2:5 (1966),  600–608
  68. Жесткая фокусировка гофрированным магнитным полем

    Zh. Vychisl. Mat. Mat. Fiz., 6:supplement to № 4 (1966),  75–79
  69. Non linear theory of the motion of fast charged particles in helical toroidal magnetic fields

    Dokl. Akad. Nauk SSSR, 163:2 (1965),  343–346
  70. Asymptotic behavior in the neighborhood of an irregular singular point of the solutions of ordinary differential equations with small coefficients on the highest derivatives

    Mat. Sb. (N.S.), 57(99):2 (1962),  187–200
  71. Asymptotic expansions of hypergeometric and confluent hypergeometric functions

    Izv. Vyssh. Uchebn. Zaved. Mat., 1961, no. 5,  98–101
  72. Linear differential equations with small coefficients of several higher derivatives in the neighborhood of regular singular points of the equation

    Uspekhi Mat. Nauk, 16:4(100) (1961),  187–194
  73. Asymptotic expansions of the solutions of ordinary linear differential equations in the neighborhood of an irregular singularity when the coefficients of the higher derivatives in the equations are small

    Dokl. Akad. Nauk SSSR, 135:6 (1960),  1338–1341

  74. Correction: “Investigation of the stability of systems containing perturbations”

    Dokl. Akad. Nauk SSSR, 288:6 (1986),  1288

© Steklov Math. Inst. of RAS, 2024