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This article is part of the series Nonlocal Boundary Value Problems.

Open Access Open Badges 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

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2011/1/212980

Received:14 May 2010
Accepted:26 July 2010
Published:10 August 2010

© 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.


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.

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