Asymptotic solution of eigenvalue problems for second-order ordinary differential equations

DOI10.1002/cpa.3160280606zbMath0331.34019OpenAlexW2169525485MaRDI QIDQ4097567

Joseph B. Keller, Donatus Uzodinma Anyanwu

Publication date: 1975

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160280606

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Ordinary differential operators (34L99)

Related Items (5)

Uniform asymptotic solutions of boundary and eigenvalue problems for a second-order ordinary differential equation with singular and turning points ⋮ Uniform asymptotic solutions of second-order linear ordinary differential equations with singular points. I: Formal theory ⋮ Uniform approximations for the natural modes and frequencies of spindle- shaped acoustical resonators ⋮ Asymptotic solution of higher-order differential equations with several turning points, and application to wave propagation in slowly varying waveguides ⋮ Asymptotic (semiclassical) equivalence for Schrödinger equations with singular potentials and for related systems of two first-order equations

Cites Work

• Uniform Asymptotic Solutions for Linear Second Order Ordinary Differential Equations with Turning Points: Formal Theory

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