Open Access Research Article

Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems

EunKyoung Lee and Yong-Hoon Lee*

Author Affiliations

Department of Mathematics, Pusan National University, Busan 609-735, Republic of Korea

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Boundary Value Problems 2011, 2011:212980  doi:10.1155/2011/212980

Published: 10 August 2010

Abstract

This paper studies the existence, and multiplicity of positive solutions of a singular boundary value problem for second-order differential systems with impulse effects. By using the upper and lower solutions method and fixed point index arguments, criteria of the multiplicity, existence and nonexistence of positive solutions with respect to parameters given in the system are established.