Zh.K. Turkmanov

BSU named after K. Karasaev

ASYMPTOTIC EXPANSIONS OF SOLUTIONS TO NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER

22.11.2024

Zh.K. Turkmanov, M. Karynbaeva
  • Keywords asymptotic expansions, nonlinear equations, ordinary differential equations, small parameter, singular perturbations, boundary layers, parameterization, asymptotic analysis, solution behavior, Lighthill, Prandtl-Tikhonov
  • DOI https://doi.org/10.35254/bsu/2024.69.35

REGULAR AND SINGULAR PERTURBATIONS IN MATHEMATICAL MODELS: ANALYSIS AND ASYMPTOTIC METHODS

29.12.2025

Zh.K. Turkmanov, M. Karynbaeva
  • Keywords boundary layers, qualitative transformations, numerical modeling, approximate solutions, asymptotic expansions, dynamical systems, perturbation operators, degenerate equations, applied problems, perturbation theory
  • DOI https://doi.org/10.35254/bsu/2025.74.35

UNIFORMIZATION METHOD FOR FIRST-ORDER DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER AND SINGULAR POINTS

29.12.2025

Zh.K. Turkmanov, M. Karynbaeva
  • Keywords uniformization method, differential equations, small parameter, asymptotic methods, singular points, boundary layers, singular perturbations, nonlinear equations, asymptotic approximations, matching
  • DOI https://doi.org/10.35254/bsu/2025.74.36