Bielecki-ulam's Types Stability Analysis of Hammerstein and Mixed Integro-Dynamic Systems of Non-Linear Form With Instantaneous Impulses on Time Scales

Abstract

In this paper, the stability in terms of Bielecki-Ulam-Hyers and stability in terms of Bielecki-Ulam-Hyers-Rassias of non-linear impulsive Hammerstein integro-dynamic system with delay and non-linear impulsive mixed integro-dynamic system on time scales are achieved by utilizing fixed point approach along with Lipschitz condition and Gronwall's inequality. Examples are also provided for the verification of the results.