Periodic or nonnegative periodic solutions for totally nonlinear neutral dynamic equations with infinite delay on time scales

Abstract

In this work, We use Krasnoselskii-Burton's fixed point theorem to prove new results on the existence of periodic or nonnegative periodic solutions for a totally nonlinear neutral dynamic equation with infinite delay on time scales. We invert the given equation to obtain an equivalent integral equation from which we define a fixed point mapping written as a sum of a large contraction and a completely continuous map.