Boundary Value Problems
Volume 2010 (2010), Article ID 281908, 13 pages
doi:10.1155/2010/281908
Multiple positive solutions of the singular boundary value problem for second-order impulsive differential equations on the half-line
Jing Xiao1
, Juan J. Nieto2
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
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.