Sergiy Borysenko, Giovanni Matarazzo, Massimo Pecoraro

A Generalization of Bihari's Lemma for Discontinuous Functions and Its Application to the Stability Problem of Differential Equations with Impulse Disturbance

Abstract:
This paper presents a generalization of nonlinear integral inequalities of the Gronwall-Bellman-Bihari type for discontinuous functions and its application to the investigation of the practical stability of solutions of systems of integro-differential equations with impulse perturbations at fixed moments of time.

Keywords:
Differential equations with impulse perturbations, integral inequalities.

MSC 2000: 34B15