Exponential Dichotomy and Existence of Almost Periodic Solutions of Impulsive Differential Equations

Abstract

We establish conditions for the existence of piecewise continuous almost periodic solutions of a system of impulsive differential equations with exponentially dichotomous linear part. The robustness of exponential dichotomy and exponential contraction are investigated for linear systems with small perturbations of the right-hand sides and the points of impulsive action.