VARIATIONAL LYAPUNOV METHOD AND STABILITY ANALYSIS FOR PERTURBED SETVALUED IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS WITH DELAY

Abstract

In this paper, we develop stability criteria in terms of two measures for perturbed setvalued delay integro-differential equations with fixed moments of impulsive effects. Variational Lyapunov method is employed to establish the stability properties of the perturbed system via a comparison result which connects the solutions of perturbed system and the unperturbed one through the solutions of a comparison system.