Boundary Value Problems
Volume 2011 (2011), Article ID 212980, 22 pages
doi:10.1155/2011/212980
Research Article

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

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

Received 14 May 2010; Accepted 26 July 2010

Academic Editor: Feliz Manuel Minhós

Copyright © 2011 Eun Kyoung Lee and Yong-Hoon Lee. 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 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.