Analysis reveals Hyers-Ulam stability in Hammerstein equations with impulses, suggesting fixed point techniques improve solutions.
This paper mainly focuses on solving the Hyers-Ulam and Hyers-Ulam-Rassias stability problem of the Hammerstein integral equation with impulses and delay using fixed point technique. The consequent different cases of a finite interval and an infinite interval are studied. Finally, a concrete example is given at the end to justify the efficiency of the obtained theoretical results.
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Shah et al. (2025) studied this question.
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