Asymptotic solution of higher-order differential equations with several turning points, and application to wave propagation in slowly varying waveguides
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Publication:4148242
DOI10.1002/cpa.3160310106zbMath0369.34024OpenAlexW2069181957MaRDI QIDQ4148242
Joseph B. Keller, Donatus Uzodinma Anyanwu
Publication date: 1978
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160310106
Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05)
Related Items (5)
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 ⋮ Pulse Reflection in a Random Waveguide with a Turning Point ⋮ A ghost imaging modality in a random waveguide ⋮ Asymptotic (semiclassical) equivalence for Schrödinger equations with singular potentials and for related systems of two first-order equations
Cites Work
- Asymptotic solution of eigenvalue problems for second-order ordinary differential equations
- Uniform Asymptotic Solutions for Linear Second Order Ordinary Differential Equations with Turning Points: Formal Theory
- Uniform asymptotic solutions of second order linear ordinary differential equations with turning points
- A Uniform Asymptotic Turning Point Theory for Second Order Linear Ordinary Differential Equations
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