1978•SIAM Journal on Applied MathematicsRequires access

Asymptotic Solution of a Nonlinear Singular Perturbation Problem

John J. Shepherd

Open publisher page 4 citations

Abstract

Existence, uniqueness and asymptotic properties are obtained for the solution of a nonlinear singular perturbation problem, by means of a technique that constructs a linear problem which is a suitable approximation in an appropriate sense.

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What this paper is about

Existence, uniqueness and asymptotic properties are obtained for the solution of a nonlinear singular perturbation problem, by means of a technique that constructs a linear problem which is a suitable approximation in an appropriate sense.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Existence, uniqueness and asymptotic properties are obtained for the solution of a nonlinear singular perturbation problem, by means of a technique that constructs a linear problem which is a suitable approximation in an appropriate sense.

Key concepts: Singular perturbation, Uniqueness, Mathematics, Singular solution, Nonlinear system, Mathematical analysis, Perturbation (astronomy), Method of matched asymptotic expansions

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