On a third order linear ordinary differential equation with a turning-singular point

DOI10.1016/S0362-546X(97)00398-2zbMath0889.34052WikidataQ115339155 ScholiaQ115339155MaRDI QIDQ4374160

Minoru Nakano

Publication date: 22 June 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionsturning point theoryWKB solutionsStokes and anti-Stokes curves

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

A review on singularly perturbed differential equations with turning points and interior layers

Cites Work

• Second order linear ordinary differential equations with turning points and singularities. II
• Uniform asymptotic properties of the WKB method
• On the WKB method for certain third order ordinary differential equations
• Die asymptotische Lösung einer linearen Differentialgleichung mit dreisegmentigem charakteristischen Polygon
• New Stokes’ line in WKB theory
• Turning point problems for systems of linear differential equations. Part II: The analytic theory
• On a matching method for a linear ordinary differential equation containing a parameter. III.
• On a system of linear ordinary differential equations with a turning point
• On the central connection problem at a turning point
• On a secondary turning point problem
• Reduction of the order of a linear ordinary differential equation containing a small parameter
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