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Konyaev Yurii Alexandrovich

Publications in Math-Net.Ru

  1. An Asymptotic Method for Reducing Systems of Differential Equations with Almost-Periodic Matrices

    Mat. Zametki, 105:1 (2019),  9–17
  2. Analysis of nonautonomous systems of ordinary differential equations with exponentially periodic matrix

    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 10,  62–69
  3. Specific Features of the Study of Nonautonomous Differential Equations with Exponential-Type Matrices

    Mat. Zametki, 101:2 (2017),  226–231
  4. Splitting method of the study of multipoint boundary value problems on the half-line

    Meždunar. nauč.-issled. žurn., 2015, no. 7-2(38),  23–27
  5. Unique Solvability of Singularly Perturbed Boundary-Value Problems with Unstable Spectrum of the Limit Operator

    Mat. Zametki, 95:2 (2014),  222–226
  6. The analysis of small fluctuations of micromechanical gyroscopes (MMG) on a vibrating basis

    Mat. Model., 24:5 (2012),  61–64
  7. Asymptotic analysis of regularly and singularly perturbed problems and their applications in biology

    CMFD, 37 (2010),  16–27
  8. Initial-value and multipoint boundary-value problems for nonautonomous systems with polynomial matrices and their applications

    CMFD, 35 (2010),  78–85
  9. On nonlinear singularly perturbed problems in biology

    Mat. Model., 22:9 (2010),  107–115
  10. On a Method for Studying the Norm and the Stability of Solutions

    Mat. Zametki, 81:4 (2007),  540–546
  11. On the asymptotics of solutions of boundary value problems for singularly perturbed linear systems on an infinite interval

    Differ. Uravn., 42:8 (2006),  1138–1139
  12. Asymptotic analysis of solutions of differential equations with polynomially periodic coefficients

    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 1,  78–81
  13. Construction of exact solutions to singular perturbation problems for linear ordinary differential equations with power boundary layer

    Mat. Zametki, 79:6 (2006),  950–954
  14. Asymptotic analysis of linear periodic systems of homogeneous differential equations with a large or small parameter

    Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 7,  25–29
  15. Quasi-regular asymptotic behavior of the solution of a singularly perturbed Cauchy problem for linear systems of differential matrix equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 4,  45–48
  16. An Asymptotic Analog of Reducibility Theorems for Some Classes of Nonautonomous Linear Systems

    Differ. Uravn., 40:3 (2004),  330–333
  17. Asymptotic Expansion of the Determinant of a Perturbed Matrix

    Mat. Zametki, 76:1 (2004),  149–151
  18. An algorithm for constructing a quasi-regular asymptotic representation for the solution of singularly perturbed linear multi-point boundary value problems with fast and slow variables

    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 7,  14–21
  19. The method of unitary transformations in stability theory

    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 2,  41–45
  20. The Birgchof type asymptotics of some singularly perturbed optimal control problems

    Mat. Model., 14:3 (2002),  27–29
  21. A Class of Singularly Perturbed Boundary Value Problems with Unstable Spectrum of the Limit Operator

    Differ. Uravn., 37:4 (2001),  558–561
  22. The analysis of singularly perturbed problems by the splitting method

    Mat. Model., 13:12 (2001),  55–57
  23. On some methods for investigating stability

    Mat. Sb., 192:3 (2001),  65–82
  24. The splitting method in the theory of regular and singular perturbations

    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 6,  10–15
  25. A spectral method for studying the stability of some classes of nonautonomous differential equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 5,  51–61
  26. On the unique solvability of some classes of nonlinear regular and singularly perturbed boundary value problems

    Differ. Uravn., 35:8 (1999),  1028–1035
  27. An iterative method for the analysis of nonlinear singularly perturbed initial value and boundary value problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 3,  38–45
  28. On the structure of the solution of singularly perturbed initial-boundary value problems with an unbounded spectrum of the limit operator

    Mat. Zametki, 65:6 (1999),  831–835
  29. Investigation of the stability of nonautonomous systems of differential equations of quasipolynomial type

    Differ. Uravn., 34:10 (1998),  1427–1429
  30. Singularly perturbed problems with double singularity

    Mat. Zametki, 62:4 (1997),  494–501
  31. Asymptotic analysis of certain classes of singularly perturbed problems on the semiaxis

    Mat. Zametki, 62:1 (1997),  111–117
  32. Initial value and boundary value problems with singularities

    Differ. Uravn., 32:3 (1996),  419–421
  33. Contrasting solutions of singularly perturbed multipoint boundary-value problems with singularities

    Mat. Zametki, 56:4 (1994),  95–101
  34. Singularly-perturbed boundary value problems in the presence of zeros in the spectrum of the limit operator

    Sibirsk. Mat. Zh., 35:1 (1994),  118–123
  35. On a method of studying certain problems in perturbation theory

    Mat. Sb., 184:12 (1993),  133–144
  36. Constructive methods for studying multipoint boundary value problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 2,  57–61
  37. Classes of regular and singular boundary problems

    Mat. Zametki, 51:2 (1992),  149–151
  38. On a method of studying multipoint boundary value problems

    Sibirsk. Mat. Zh., 33:6 (1992),  87–93
  39. Sufficient conditions for the stability of solutions of some classes of ordinary differential equations in critical cases

    Differ. Uravn., 26:4 (1990),  709–712
  40. A new approach to the investigation of linear singularly perturbed problems in the presence of identically multiple and imaginary points of the spectrum

    Differ. Uravn., 21:10 (1985),  1811–1814
  41. Sequential analysis of periodic systems with a small parameter multiplying the derivative in the presence of purely imaginary (including identically multiple) points in the spectrum of the limit operator

    Differ. Uravn., 21:6 (1985),  1085–1089
  42. A general approach to asymptotic integration of singularly perturbed initial value and boundary value problems for systems of linear ordinary differential equations

    Differ. Uravn., 20:11 (1984),  1999–2003
  43. On the existence of periodic solutions of some systems of differential equations with a small parameter at the derivative

    Dokl. Akad. Nauk SSSR, 264:1 (1982),  40–44
  44. Asymptotic representation of periodic solutions of certain elliptic equations of order $2m$ in the process $m\rightarrow \infty $

    Differ. Uravn., 14:10 (1978),  1900–1902


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