SINGULARLY PERTURBED VOLTERRA INTEGRAL EQUATIONS.

J. S. Angell; W. E. Olmstead

doi:10.1137/0147001

SINGULARLY PERTURBED VOLTERRA INTEGRAL EQUATIONS.

J. S. Angell^*, W. E. Olmstead

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

48 Scopus citations

Abstract

A formal methodology is developed to obtain a uniformly valid asymptotic solution to a class of singularly perturbed Volterra integral equations. The methodology systematically determines the appropriate integral equations which govern the inner and outer solutions at each order of the perturbation analysis. Several examples are presented to illustrate the procedure.

Original language	English (US)
Pages (from-to)	1-14
Number of pages	14
Journal	SIAM Journal on Applied Mathematics
Volume	47
Issue number	1
DOIs	https://doi.org/10.1137/0147001
State	Published - Jan 1 1987

ASJC Scopus subject areas

Applied Mathematics

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title = "SINGULARLY PERTURBED VOLTERRA INTEGRAL EQUATIONS.",

abstract = "A formal methodology is developed to obtain a uniformly valid asymptotic solution to a class of singularly perturbed Volterra integral equations. The methodology systematically determines the appropriate integral equations which govern the inner and outer solutions at each order of the perturbation analysis. Several examples are presented to illustrate the procedure.",

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SINGULARLY PERTURBED VOLTERRA INTEGRAL EQUATIONS.

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