Boundary Value Problems
Volume 2010 (2010), Article ID 281908, 13 pages
doi:10.1155/2010/281908
Research Article

Multiple Positive Solutions of the Singular Boundary Value Problem for Second-Order Impulsive Differential Equations on the Half-Line

Jing Xiao,1 Juan J. Nieto,2 and Zhiguo Luo1

1Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China
2Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Received 17 November 2009; Revised 22 January 2010; Accepted 21 February 2010

Academic Editor: Claudianor Alves

Copyright © 2010 Jing Xiao et al. 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.

Abstract

This paper uses a fixed point theorem in cones to investigate the multiple positive solutions of a boundary value problem for second-order impulsive singular differential equations on the half-line. The conditions for the existence of multiple positive solutions are established.