RAZUMIKHIN TECHNIQUE VIA TWO LYAPUNOV FUNCTIONS AND APPLICATIONS TO LOTKA-VOLTERRA SYSTEMS WITH TIME DELAY AND IMPULSIVE EFFECTS

摘要

This paper considers the stability problem of a class of impulsive functional differential equations using two Lyapunov functions. By employing the Lyapunov-Razumikhin technique, we establish several stability criteria in terms of two measures. These criteria are then applied to get sufficient conditions for uniform asymptotical stability of Lotka-Volterra systems subject to impulsive effects.