Dhage iteration method in the theory of ordinary nonlinear PBVPs of first order functional delay integrodifferential equations

Abstract

In this paper we prove the existence and uniqueness results for approximate solution for a couple of nonlinear periodic boundary value problems of first order nonlinear functional delay differential equations via construction of the algorithms for solutions. The main results rely on the Dhage iteration principle embodied in a recent hybrid fixed point theorems of Dhage (2014) in a partially ordered complete normed linear space. Examples are also furnished to illustrate the hypotheses and the abstract results of this paper.