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

Existence and Uniqueness of Solutions for a Second-Order Delay Differential Equation Boundary Value Problem on the Half-Line

Yuming Wei1,2

 1Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
2School of Mathematical Science, Guangxi Normal University, Guilin 541004, China
Received 5 May 2008; Accepted 8 September 2008

Recommended by Ivan T. Kiguradze

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.