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Published Online: 27 January 2017

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

AIP Conference Proceedings 1798, 020036 (2017); https://doi.org/10.1063/1.4972628
L. P. Castro1,a),b) and A. M. Simões2,c)
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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.

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  24. Published by AIP Publishing.

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