EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 83(97), pp. 57–63 (2008)

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ON THE FUNCTIONAL–INTEGRAL EQUATION OF VOLTERRA TYPE WITH WEAKLY SINGULAR KERNEL

Aldona Dutkiewicz

Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznan, Poland

Abstract: We give sufficient conditions for the existence of $L^p-$solution of a Volterra functional–integral equation in a Banach space. Our assumptions and proofs are expressed in terms of measures of noncompactness.

Keywords: Functional–integral equation, $L^p$-solutions, measure of noncompactness

Classification (MSC2000): 45N05

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Electronic fulltext finalized on: 21 Oct 2008. This page was last modified: 10 Dec 2008.

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