Full Text: PDF
Received May 29, 2017; Accepted October 9, 2017; Published October 25, 2017
Abstract. In this paper, we prove the existence and uniqueness results for approximate solutions of a nonlinear periodic boundary value problem of first order nonlinear functional differential equations via construction of an algorithm. The main results rely on the Dhage iteration method embodied in a recent hybrid fixed point principle of Dhage (2014) in a partially ordered normed linear space. Examples are also furnished to illustrate the hypotheses and the abstract results of this paper.
How to Cite this Article:
Bapurao C. Dhage, Dhage iteration method in the theory of ordinary nonlinear PBVPs of first order functional differential equations, Communications in Optimization Theory, Vol. 2017 (2017), Article ID 32, pp. 1-22.