The Sufficiency of the Matkowsky Condition in the Problem of Resonance

DOI10.2307/1999176zbMath0513.34055OpenAlexW4231062085MaRDI QIDQ3658357

Ching-Her Lin

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999176

zbMATH Keywords

boundary value problemsresonance phenomenasingularly perturbed two-point

Mathematics Subject Classification ID

Singular perturbations of ordinary differential equations (34D15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Linear boundary value problems for ordinary differential equations (34B05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

A review on singularly perturbed differential equations with turning points and interior layers ⋮ Classification of resonant equations ⋮ Overstability and resonance.

Cites Work

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• On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients
• A Geometric Approach to Boundary Layer Problems Exhibiting Resonance
• A Theorem Concerning Uniform Simplification at a Transition Point and the Problem of Resonance
• Uniform simplification in a full neighborhood of a transition point
• Remarks on Singular Perturbations with Turning Points
• Sufficient Conditions for Ackerberg–O’Malley Resonance
• Boundary Layer Problems Exhibiting Resonance
• A singular perturbation problem with a turning point
• Resonance in a Boundary Value Problem of Singular Perturbation Type

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