Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales

Abstract

Let T be a periodic time scale. The purpose of this paper is to use Schauder's fixed point theorem to prove the existence of periodic and asymptotically periodic solutions of nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales. The results obtained here extend the work of Raffoul r1.