On one method for the analysis of the Cauchy problem for a singularly perturbed inhomogeneous second-order linear differential equation

DOI10.1134/S0965542517100050zbMath1384.34067OpenAlexW2765374059WikidataQ115247852 ScholiaQ115247852MaRDI QIDQ1702622

E. E. Bukzhalev

Publication date: 28 February 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517100050

zbMATH Keywords

singular perturbationsboundary function methodBanach fixed-point theoremmethod of asymptotic iterations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Linear ordinary differential equations and systems (34A30) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (1)

Iteration method of approximate solution of the Cauchy problem for a singularly perturbed weakly nonlinear differential equation of an arbitrary order

Cites Work

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