descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2017Publisher:Author(s)Journal:AIP Conference Proceedings, volume 1,798, page 20,036 (issn: 0094-243X,

Authors: Simões, A. M.; Castro, L. P.;

doi: 10.1063/1.4972628

handle: 10773/16736 , 10400.6/4745

Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations

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Abstract

The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein integral equations. The consequent different cases of a finite interval and an infinite interval are considered, and some concrete examples are included to illustrate the results.

Related Organizations

University of Aveiro
Portugal
University of Beira Interior
Portugal

Keywords

Hammerstein integral equation, Hyers-Ulam stability, Hyers-Ulam-Rassias stability

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