The solution of one class of convolution-type integral equations

A convolution-type integral equation is considered in a finite interval [0, r] when the kernel K( τ − t) is a superposition of exponential functions ▪. A relationship is established between the solutions of the corresponding equations in [0, r] and [0, R], where r ≤ R. This relationship is applied t...

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Bibliographic Details
Published in:U.S.S.R. computational mathematics and mathematical physics 1989, Vol.29 (5), p.20-27
Main Authors: Vardanyan, R.S., Engibaryan, N.B.
Format: Article
Language:English
Online Access:Get full text
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Summary:A convolution-type integral equation is considered in a finite interval [0, r] when the kernel K( τ − t) is a superposition of exponential functions ▪. A relationship is established between the solutions of the corresponding equations in [0, r] and [0, R], where r ≤ R. This relationship is applied to solve the equation in [0, r].
ISSN:0041-5553
DOI:10.1016/0041-5553(89)90174-2