Singular perturbations of a boundary value problem for a system of nonlinear differential equations

DOI10.1016/0022-0396(70)90016-1zbMath0212.11901OpenAlexW2024183909MaRDI QIDQ2544474

Robert E. jun. O'Malley

Publication date: 1970

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(70)90016-1

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items (8)

A Green function approach for a singularly perturbed vector boundary- value problem ⋮ A class of superquadratic boundary value problems of capillary type ⋮ Singular Perturbation Analysis of Integral Equations ⋮ Boundary layer methods for certain nonlinear singularity perturbed optimal control problems ⋮ An asymptotic theory for a class of nonlinear Robin problems ⋮ Singular perturbation of general boundary value problems for nonlinear differential equation systems ⋮ On multiple solutions of a singular perturbation problem ⋮ Singular perturbation of nonlinear vector boundary value problem

Cites Work

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• Singular perturbations of a boundary value problem for a system of nonlinear ordinary differential equations
• Singular perturbation of a boundary value problem for a nonlinear system of differential equations
• ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES
• On a Boundary Value Problem for a Nonlinear Differential Equation with a Small Parameter

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