Hyers-Ulam stability for Hammerstein integral equations with impulses and delay

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.