Eliminating Indeterminacy in Singularly Perturbed Boundary Value Problems with Translation Invariant Potentials

DOI10.1002/sapm199287295zbMath0767.65068OpenAlexW2474406097MaRDI QIDQ4022760

Michael J. Ward

Publication date: 17 January 1993

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm199287295

zbMATH Keywords

singular perturbationmethod of matched asymptotic expansionsinternal layer positionstranslation invariant potentials

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15)

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Cites Work

• Phase-plane solutions to some singular perturbation problems
• On Spurious Solutions of Singular Perturbation Problems
• A Variational Approach to Nonlinear Singularly Perturbed Boundary-Value Problems
• Multiple Solutions of Nonlinear Boundary-Value Problems
• A Variational Approach to Singularly Perturbed Boundary Value Problems for Ordinary and Partial Differential Equations with Turning Points