Linear system of differential equations with multiple turning point

DOI10.1007/S10958-013-1217-9zbMath1275.34081OpenAlexW2053721234MaRDI QIDQ354834

I. H. Klyuchnyk

Publication date: 22 July 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1217-9

zbMATH Keywords

singular perturbationseries expansionlinear system of differential equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear ordinary differential equations and systems (34A30) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Cites Work

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• On the asymptotic integration of a singularly perturbed system of linear differential equations with deviating argument
• Linear turning point theory
• On full uniform simplification of even order linear differential equations with a parameter
• Reduction theorems for systems of ordinary differential equations with a turning point
• On uniform simplification of linear differential equation in a full neighborhood of a turning point
• Asymptotic solutions of a system of differential equations with multiple turning point
• Uniform simplification in a full neighborhood of a transition point
• On an extension theorem and its application for turning point problems of large order
• Classification and Reduction of Second Order Systems at a Turning Point
• Stokes Multipliers for Asymptotic Solutions of a Certain Differential Equation

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