System of singularly perturbed equations with differential turning point of the first kind

DOI10.3103/S1066369X15030068zbMath1327.34108MaRDI QIDQ2356357

I. A. Zelenskaya

Publication date: 29 July 2015

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

zbMATH Keywords

linear systemsmall parameterturning pointAiry-operator

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13)

Cites Work

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• Linear turning point theory
• The solutions of a class of ordinary linear differential equations of the third order in a region containing a multiple turning point
• Fundamental solutions of a linear ordinary differential equation of the third order in the neighborhood of a simple second order turning point
• Differential turning point in the theory of singular perturbations II.
• Differential turning point in the theory of singular perturbations I.
• A turning point problem for a system of linear ordinary differential equations of the third order
• A turning point problem of an $n$-th order differential equation of hydrodynamic type
• On the Asymptotic Theory of a Class of Ordinary Differential Equations of Fourth Order II. Existence of Solutions which are Approximated by the Formal Solutions
• On the Asymptotic Forms of the Solutions of Ordinary Linear Differential Equations of the Third Order in a Region Containing a Turning Point

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