Construction of asymptotic solutions of a singularly perturbed linear system of differential equations with irregular singular point in the case of a multiple spectrum of the boundary matrix

DOI10.1007/S11072-008-0019-3zbMath1276.34079OpenAlexW2077081757MaRDI QIDQ368119

O. V. Holovchenko, V. P. Yakovets'

Publication date: 18 September 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-008-0019-3

zbMATH Keywords

double series in fractional powers of the parameter

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Asymptotic expansions of solutions to ordinary differential equations (34E05) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (1)

Asymptotics of the solution to the boundary-value problem when the limit equation has an irregular singular point

Cites Work

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