Global attractivity of nonnegative periodic solutions for delay dynamic equations on time scales

Abstract

In this manuscript, we obtain sufficient conditions for the existence of a nonnegative periodic solution for the unforced delay dynamic equation on time scales by applying the Schauder fixed point theorem. Also, we demonstrate that each nonnegative solution for the forced delay dynamic equation converges to the nonnegative periodic solution for the associated unforced delay dynamic equation. Our findings combine the well-known discrete and continuous cases.