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- Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equationsPublication . Simões, A. M.; Castro, L. P.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.