Open Access

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

Boundary Value Problems20082008:752827

DOI: 10.1155/2008/752827

Received: 5 May 2008

Accepted: 8 September 2008

Published: 10 September 2008

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.

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Authors’ Affiliations

(1)
Department of Mathematics, Beijing Institute of Technology
(2)
School of Mathematical Science, Guangxi Normal University

Copyright

© YumingWei. 2008

This article is published under license to BioMed Central Ltd. 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.