$(\omega,c)$-Periodic Solutions for Impulsive Differential Systems

Abstract

In this paper, we prove the existence of $(\omega,c)$-periodic solutions for a nonhomogeneous linear impulsive system by constructing Green functions and adjoint systems, respectively. In addition, we study the existence and uniqueness of $(\omega,c)$-periodic solutions for a semilinear impulsive system via fixed point approach. Two examples are provided to illustrate our results.