Boundary Value Problems
Volume 2008 (2008), Article ID 752827, 14 pages
doi:10.1155/2008/752827

Existence and uniqueness of solutions for a second-order delay differential equation boundary value problem on the half-line

Abstract

This paper is concerned with the existence and uniqueness of solutions for the second-order nonlinear delay differential equations. By the use of the Schauder fixed point theorem, the existence of the solutions on the half-line is derived. Via the Banach contraction principle, another result concerning the existence and uniqueness of solutions on the half-line is established. The main results in this paper extend some of the existing literatures.