Open Access Research Article

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

Jing Xiao1, JuanJ Nieto2 and Zhiguo Luo1*

Author Affiliations

1 Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China

2 Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain

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Boundary Value Problems 2010, 2010:281908  doi:10.1155/2010/281908

Published: 29 March 2010

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.