Stability and controllability results of evolution system with impulsive condition on time scales

Abstract

. In this manuscript, we examine the Hyer’s-Ulam stability and exact controllability results for impulsive evolution system on time scales. This manuscript has two segments: the fi rst segment of the work is concerned with the Hyer’s-Ulam type’s stability analysis and the other segment is to exact controllability results. We used the Banach fi xed point theorem, evolution operator theory and nonlinear functional analysis to establish these results. At last, we have presented some theoretical and numerical examples to outcome the utilization of these developed analytical results. scales by de fi ning the Picard operators and it is proved the proposed results are more general than some existing works.