Boundary Value Problems
Volume 2008 (2008), Article ID 752827, 14 pages
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

Academic Editor: Ivan T. Kiguradze

Copyright © 2008 Yuming Wei. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.