Abstract and Applied Analysis
Volume 2011 (2011), Article ID 493639, 12 pages
http://dx.doi.org/10.1155/2011/493639
Research Article

Multiple Positive Solutions for Singular Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces

Hongxia Fan1,2 and Yongxiang Li1

1Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
2Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China

Received 21 June 2011; Accepted 26 August 2011

Academic Editor: Elena Braverman

Copyright © 2011 Hongxia Fan and Yongxiang Li. 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

By means of the fixed point theory of strict set contraction operators, we establish a new existence theorem on multiple positive solutions to a singular boundary value problem for second-order impulsive differential equations with periodic boundary conditions in a Banach space. Moreover, an application is given to illustrate the main result.