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Konyukhova Nadezhda Borisovna

Publications in Math-Net.Ru

  1. Smooth Lyapunov manifolds for autonomous systems of nonlinear ordinary differential equations and their application to solving singular boundary value problems

    Zh. Vychisl. Mat. Mat. Fiz., 64:2 (2024),  232–252
  2. Singular nonlinear problems for phase trajectories of some self-similar solutions of boundary layer equations: correct formulation, analysis, and calculations

    Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023),  245–261
  3. Optimal control of investment in a collective pension insurance model: study of singular nonlinear problems for integro-differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 62:9 (2022),  1473–1490
  4. Singular nonlinear problems for self-similar solutions of boundary-layer equations with zero pressure gradient: analysis and numerical solution

    Zh. Vychisl. Mat. Mat. Fiz., 61:10 (2021),  1619–1645
  5. Risk-free investments and their comparison with simple risky strategies in pension insurance model: solving singular problems for integro-differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 60:10 (2020),  1676–1696
  6. Solvency of an insurance company in a dual risk model with investment: analysis and numerical study of singular boundary value problems

    Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019),  1973–1997
  7. Dynamical insurance models with investment: Constrained singular problems for integrodifferential equations

    Zh. Vychisl. Mat. Mat. Fiz., 56:1 (2016),  47–98
  8. Singular initial-value and boundary-value problems for integrodifferential equations in dynamical insurance models with investments

    CMFD, 53 (2014),  5–29
  9. Singular boundary value problem for the integrodifferential equation in an insurance model with stochastic premiums: Analysis and numerical solution

    Zh. Vychisl. Mat. Mat. Fiz., 52:10 (2012),  1812–1846
  10. Bubbles and Droplets in Nonlinear Physics Models: Analysis and Numerical Simulation of Singular Nonlinear Boundary Value Problem

    Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008),  2019–2023
  11. Singular problem for a third-order nonlinear ordinary differential equation arising in fluid dynamics

    Zh. Vychisl. Mat. Mat. Fiz., 47:7 (2007),  1158–1178
  12. Analytic–numerical investigation of the nonlinear boundary value problem for a superconducting plate in a magnetic field

    Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005),  1651–1676
  13. The investigation of charged topological soliton stability in the system of two interacting scalar fields

    Zh. Vychisl. Mat. Mat. Fiz., 44:11 (2004),  2069–2083
  14. Multiple self-similar string and monopole solutions to nonlinear wave equations in inflationary cosmology

    Zh. Vychisl. Mat. Mat. Fiz., 42:4 (2002),  471–490
  15. Singular problems for Emden-Fowler-type second-order nonlinear ordinary differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001),  595–619
  16. Multiple one-dimensional and spherically symmetric self-similar solutions to the nonlinear wave equation for the Higgs field in the de Sitter space

    Zh. Vychisl. Mat. Mat. Fiz., 41:3 (2001),  467–488
  17. Modifications of the method of phase functions as applied to singular problems in quantum physics

    Zh. Vychisl. Mat. Mat. Fiz., 39:3 (1999),  492–522
  18. Self-similar solutions to the nonlinear wave equation for the Higgs fields in the de Sitter space

    Zh. Vychisl. Mat. Mat. Fiz., 39:1 (1999),  124–140
  19. Nonlinear singular problems in relativistic cosmology. II. The Higgs field in the de Sitter space

    Zh. Vychisl. Mat. Mat. Fiz., 37:12 (1997),  1506–1519
  20. Nonsingular problems in relativistic cosmology. I. The Higgs field in the Minkowski and Friedmann spaces

    Zh. Vychisl. Mat. Mat. Fiz., 37:11 (1997),  1345–1361
  21. Modification of the phase method for singular selfadjoint Sturm–Liouville problems

    Zh. Vychisl. Mat. Mat. Fiz., 37:10 (1997),  1183–1200
  22. Singular Cauchy problems for singularly perturbed systems of nonlinear ordinary differential equations. II

    Differ. Uravn., 32:4 (1996),  491–500
  23. Singular Cauchy problems for singularly perturbed systems of nonlinear ordinary differential equations. I

    Differ. Uravn., 32:1 (1996),  52–61
  24. Singular Cauchy problems for some systems of nonlinear functional-differential equations

    Differ. Uravn., 31:8 (1995),  1340–1347
  25. On a numerical-analytic investigation of problems of the diffraction of a plane sound wave by ideal prolate spheroids and triaxial ellipsoids

    Zh. Vychisl. Mat. Mat. Fiz., 35:9 (1995),  1374–1400
  26. Numerical investigations of free electrical axisymmetric oscillations of an ideally conducting oblate spheroid

    Zh. Vychisl. Mat. Mat. Fiz., 35:8 (1995),  1209–1232
  27. A numerical investigation of forced axisymmetric electric oscillations of an ideally conducting prolate spheroid

    Zh. Vychisl. Mat. Mat. Fiz., 35:5 (1995),  753–771
  28. Computation of rapidly oscillating eigenfunctions of a continuous spectrum and their improper integrals

    Zh. Vychisl. Mat. Mat. Fiz., 35:3 (1995),  360–379
  29. On the stationary Lyapunov problem for a system of first-order quasilinear partial differential equations

    Differ. Uravn., 30:8 (1994),  1384–1395
  30. On some multiparameter spectral problems of mathematical physics

    Mat. Model., 6:6 (1994),  14–21
  31. Stable Lyapunov manifolds for autonomous systems of nonlinear ordinary differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 34:10 (1994),  1358–1379
  32. On the problem of the diffraction of a plane acoustic wave by a triaxial ellipsoid

    Differ. Uravn., 29:8 (1993),  1347–1357
  33. Numerical investigation of axisymmetric free oscillations in a vacuum and excitation in a compressible medium of a prolate cylindrical shell with hemispherical ends

    Zh. Vychisl. Mat. Mat. Fiz., 33:10 (1993),  1550–1580
  34. On the limit behavior of a bounded solution of a system of first-order evolution quasilinear partial differential equations under an unbounded time increase

    Differ. Uravn., 28:9 (1992),  1561–1573
  35. On the existence and uniqueness of bounded solutions of systems of first-order quasilinear evolution partial differential equations

    Differ. Uravn., 28:3 (1992),  469–482
  36. On the limit behavior of a bounded solution of a system of first-order evolution quasilinear partial differential equations under an unbounded time increase

    Dokl. Akad. Nauk SSSR, 319:5 (1991),  1065–1071
  37. Computation of radial wave functions for spheroids and triaxial ellipsoids by the modified phase function method

    Zh. Vychisl. Mat. Mat. Fiz., 31:2 (1991),  212–234
  38. On the existence and uniqueness of solutions, bounded in time, of systems of evolution quasilinear equations with first-order partial derivatives

    Dokl. Akad. Nauk SSSR, 315:5 (1990),  1044–1048
  39. Existence of stable initial manifolds for systems of nonlinear functional-differential equations

    Dokl. Akad. Nauk SSSR, 306:3 (1989),  535–540
  40. Evaluation of angular Lamé wave functions by solving auxiliary differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 29:6 (1989),  813–830
  41. Numerical studies of free and forced oscillations in a compressible fluid of closed elastic shells of revolution with positive moment

    Zh. Vychisl. Mat. Mat. Fiz., 29:5 (1989),  747–764
  42. Numerical investigations of free electrical axisymmetric oscillations of an ideally conducting prolate spheroid

    Zh. Vychisl. Mat. Mat. Fiz., 29:4 (1989),  535–553
  43. The existence and uniqueness of the solutions of singular Cauchy problems for systems of nonlinear functional-differential equations

    Dokl. Akad. Nauk SSSR, 295:4 (1987),  798–801
  44. On the transfer from infinity of admissible boundary conditions for systems of linear ordinary differential equations with a large parameter

    Zh. Vychisl. Mat. Mat. Fiz., 27:6 (1987),  847–866
  45. Singular Cauchy problems with a large parameter for systems of nonlinear ordinary differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987),  501–519
  46. Singular Cauchy problems for sets of quasilinear equations with first-order partial derivatives

    Zh. Vychisl. Mat. Mat. Fiz., 25:12 (1985),  1814–1832
  47. Evaluation of prolate spheroidal function by solving the corresponding differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 24:1 (1984),  3–18
  48. Admissible boundary conditions at an irregular singular point for systems of linear ordinary differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983),  806–824
  49. Singular Cauchy problems for systems of ordinary differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983),  629–645
  50. Numerical studies of the stability of particlelike solutions of the equations of a scalar field

    Zh. Vychisl. Mat. Mat. Fiz., 21:1 (1981),  89–106
  51. The calculation of eigenvalues and eigenfunctions of ordinary differential equations with singularities

    Zh. Vychisl. Mat. Mat. Fiz., 20:5 (1980),  1155–1173
  52. Numerical investigation of skin-effect in a plasma column

    Zh. Vychisl. Mat. Mat. Fiz., 18:2 (1978),  394–405
  53. Diffraction of a wave bundle by a plasma cylinder

    Zh. Vychisl. Mat. Mat. Fiz., 16:6 (1976),  1526–1538
  54. The iterative solution of nonlinear boundary value problems that separate small solutions of certain systems of ordinary differential equations with a singularity

    Zh. Vychisl. Mat. Mat. Fiz., 14:5 (1974),  1221–1231
  55. Segregation of stable manifolds for some nonlinear systems of ordinary differential equations with a singularity

    Zh. Vychisl. Mat. Mat. Fiz., 13:3 (1973),  609–626
  56. Properties of solutions of certain two-dimensional nonlinear systems of ordinary differential equations on and outside a stable manifold

    Mat. Zametki, 8:3 (1970),  285–295
  57. On the solution of boundary value problems on an infinite interval for certain nonlinear systems of ordinary differential equations with a singularity

    Zh. Vychisl. Mat. Mat. Fiz., 10:5 (1970),  1150–1163
  58. The numerical determination of the solutions that go to zero at infinity for certain two-dimensional nonlinear systems of ordinary differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 10:1 (1970),  74–87
  59. On finding the solutions for a given condition at infinity of certain systems of ordinary differential equations. II

    Zh. Vychisl. Mat. Mat. Fiz., 6:3 (1966),  446–453
  60. Discovery of the solutions of certain systems of differential equations with a given condition at infinity. I

    Zh. Vychisl. Mat. Mat. Fiz., 5:6 (1965),  979–990

  61. Correction to: “Computation of rapidly oscillating eigenfunctions of the continuous spectrum and their improper integrals”

    Zh. Vychisl. Mat. Mat. Fiz., 37:8 (1997),  1024
  62. Errata

    Zh. Vychisl. Mat. Mat. Fiz., 30:6 (1990),  956
  63. Aleksandr Aleksandrovich Abramov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 41:4(250) (1986),  225–226

© Steklov Math. Inst. of RAS, 2025