Analysis shows conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability in impulsive Hammerstein equations, indicating varied stability across intervals.
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.
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Shah et al. (2025) studied this question.
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