The objective of this study is to examine different types of stability results for a class of impulsive Hammerstein integral equations. We provide adequate conditions for achieving Hyers-Ulam and Hyers-Ulam-Rassias stability for impulsive Hammerstein integral equations. The consequent different cases of a finite interval and an infinite interval are studied. Finally, a concrete example is given at the end of this study for illustrations.
Shah et al. (2025) studied this question.