Boundary Value Problems
Volume 2008 (2008), Article ID 752827, 14 pages
Existence and Uniqueness of Solutions for a Second-Order Delay Differential Equation Boundary Value Problem on the Half-Line
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.