Skip to main content
  • Research Article
  • Open access
  • Published:

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.

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yuming Wei.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Wei, Y. Existence and Uniqueness of Solutions for a Second-Order Delay Differential Equation Boundary Value Problem on the Half-Line. Bound Value Probl 2008, 752827 (2008). https://doi.org/10.1155/2008/752827

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2008/752827

Keywords