Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 751709, 24 pages
doi:10.1155/2010/751709
Research Article

Existence of Solutions for Weighted p(r)-Laplacian Impulsive Integro-Differential System Periodic-Like Boundary Value Problems

Guizhen Zhi,1 Liang Zhao,2 Guangxia Chen,3 Shujuan Wang,1 and Qihu Zhang1,4

1Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, China
2Academic Administration, Henan Institute of Science and Technology, Xinxiang, Henan 453003, China
3School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, Henan 454003, China
4School of Mathematics and Statistics, Huazhong Normal University, Wuhan, Hubei 430079, China

Received 14 November 2009; Accepted 28 January 2010

Academic Editor: Marta García-Huidobro

Copyright © 2010 Guizhen Zhi et al. 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 investigates the existence of solutions for weighted p(r)-Laplacian impulsive integro-differential system periodic-like boundary value problems via Leray-Schauder's degree. The sufficient conditions for the existence of solutions are given.