Singular perturbation analysis of a certain volterra integral equation

W Edward Olmstead; Richard A. Handelsman

doi:10.1007/BF01596217

Singular perturbation analysis of a certain volterra integral equation

W Edward Olmstead^*, Richard A. Handelsman

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

An investigation is made of the asymptotic behavior of the solution u(t;ε) to the Volterra integral equation {Mathematical expression}, in the limit as ε→0. This investigation involves a singular perturbation analysis. For the linear problem (n=1) an infinite, uniformly valid asymptotic expansion of u(t;ε) is obtained. For the nonlinear problem (n≥2), the leading two terms of a uniformly valid expansion are found

Original language	English (US)
Pages (from-to)	889-900
Number of pages	12
Journal	Zeitschrift für angewandte Mathematik und Physik ZAMP
Volume	23
Issue number	6
DOIs	https://doi.org/10.1007/BF01596217
State	Published - Nov 1972

ASJC Scopus subject areas

Applied Mathematics
General Physics and Astronomy
General Mathematics

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10.1007/BF01596217

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abstract = "An investigation is made of the asymptotic behavior of the solution u(t;ε) to the Volterra integral equation {Mathematical expression}, in the limit as ε→0. This investigation involves a singular perturbation analysis. For the linear problem (n=1) an infinite, uniformly valid asymptotic expansion of u(t;ε) is obtained. For the nonlinear problem (n≥2), the leading two terms of a uniformly valid expansion are found",

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Singular perturbation analysis of a certain volterra integral equation

Abstract

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