The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point

DOI10.1070/SM2010v201n01ABEH004066zbMath1198.34101OpenAlexW2026855004MaRDI QIDQ3561092

Yu A. Leonychev, A. M. Il'in, O. Yu. Khachay

Publication date: 25 May 2010

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2010v201n01abeh004066

zbMATH Keywords

asymptotic expansion small parameter initial value problem matching method

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13)

Related Items (5)

On a double boundary layer in a nonlinear boundary value problem ⋮ ON SOME NUMERICAL INTEGRATION CURVES FOR PDE IN NEIGHBORHOOD OF "BUTTERFLY" CATASTROPHE POINT ⋮ On the application of the method of matching asymptotic expansions to a singular system of ordinary differential equations with a small parameter ⋮ On singularly perturbed systems of ODE with a multiple root of the degenerate equation ⋮ Asymptotics of the solution of a system of nonlinear differential equations with a small parameter and with a higher-order extinction effect

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