Kneser’s theorem for weak solutions of an integral equation with weakly singular kernel

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2005 English Publisher:National Library of SerbiaJournal:Publications de l'Institut Mathematique, volume 77, pages 87-92 (issn: 0350-1302, eissn: 1820-7405,

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Authors: Dutkiewicz, Aldona; Szufla, Stanisław;

doi: 10.2298/pim0591087d

Kneser’s theorem for weak solutions of an integral equation with weakly singular kernel

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Abstract

We prove that the set of all weak solutions of the Volterra integral equation (1) is nonempty, compact and connected.

Related Organizations

Adam Mickiewicz University in Poznań
Poland

Keywords

Abstract integral equations, integral equations in abstract spaces, Singular nonlinear integral equations

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