A complete expression of the asymptotic solution to a differential equation with three-turning points

DOI10.1007/BF02459174zbMath0958.34042OpenAlexW4230196646WikidataQ115392147 ScholiaQ115392147MaRDI QIDQ1579185

Wenli Zhu, Juling Zhang

Publication date: 9 April 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459174

zbMATH Keywords

asymptotic solutionturning points

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)

Cites Work

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• Extended Airy function and differential equations with \(n\)-turning points
• A complete expression of the asymptotic solution of differential equation with a \(n\)-th order turning point
• Uniform asymptotic solutions of second order linear ordinary differential equations with turning points