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

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

Citation

L. P. Castro, A. M. Simoes, Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations, AIP Conference Proceedings, 1798(1):1-10, 2017.

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American Institute of Physics

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