\((\omega,c)\)-periodic solutions for impulsive differential systems (Q1709828)

In this work, the authors study the existence of \((\omega, c)\)-periodic solutions of a nonhomogeneous linear impulsive system by assuming a nonresonance condition via constructing the Green's function of the corresponding boundary value problem. Moreover, they transfer the existence of \((\omega, c)\)-periodic solutions into seeking a fixed point of a Fredholm integral equation with impulsive sources via Banach and Schauder fixed point theorems and thus they prove the existence and uniqueness of \((\omega, c)\)-periodic solutions for the semilinear impulsive problem. In the last part of this paper the authors illustrate their theoretical results by two examples.