Iteration method for initial value problems of nonlinear second order functional differential equations

In this article we prove the existence and approximation of solutions of periodic boundary-value problem of second-order ordinary nonlinear hybrid differential equations. We relay our results on Dhage Iteration principle or method embodied in a recent hybrid fixed point theorem of Dhage in partially ordered normed linear spaces. Our results are proved under weaker continuity and Lipschitz conditions. An examples illustrates the theory developed in this article.