Uniform asymptotic solutions of boundary and eigenvalue problems for a second-order ordinary differential equation with singular and turning points

DOI10.1016/0022-247X(88)90029-7zbMath0654.34020OpenAlexW2003419789WikidataQ115364531 ScholiaQ115364531MaRDI QIDQ1108433

Donatus Uzodinma Anyanwu

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90029-7

zbMATH Keywords

examplesLanger's method

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) Ordinary differential operators (34L99)

Related Items (2)

Uniform approximations for the natural modes and frequencies of spindle- shaped acoustical resonators ⋮ Asymptotic (semiclassical) equivalence for Schrödinger equations with singular potentials and for related systems of two first-order equations

Cites Work

• Uniform asymptotic solutions of second-order linear ordinary differential equations with singular points. I: Formal theory
• Uniform asymptotic solutions of second-order linear ordinary differential equations with singular points. II: Some expansions
• Uniform approximations for the natural modes and frequencies of spindle- shaped acoustical resonators
• Topics in singular perturbations
• Asymptotic solution of eigenvalue problems for second-order ordinary differential equations
• Uniform Asymptotic Solutions of Nonhomogeneous Differential Equations with Turning Points

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