The asymptotics of solutions of a singularly perturbed equation with a of fractional turning point

zbMath1387.34087MaRDI QIDQ1709115

Kudaĭberdi Gaparalievich Kozhobekov, Dilmurat Aabdullazhanovich Tursunov

Publication date: 27 March 2018

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/journal/downloadArticle?article=_b21f2cf5ad6e48df94674c412a7b971f&lang=rus

zbMATH Keywords

asymptotic expansionCauchy problemsingularly perturbed problemturning pointDirichlet boundary value problem

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)

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Cites Work

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• The asymptotic solution of the bisingular Robin problem
• Composite asymptotic expansions
• Linear turning point theory
• An unstable differential turning point in the theory of singular perturbations
• Uniform asymptotics of a solution of a nonhomogeneous system of two differential equations with a turning point
• A method for constructing asymptotic expansions of bisingularly perturbed problems
• A singular perturbation problem with a turning point

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