Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 392545, 31 pages
doi:10.1155/2010/392545
Research Article

Existence of Solutions for a Weighted 𝑝 ( 𝑡 ) -Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions

Rong Dong,1 Yunrui Guo,2 Yuanzhang Zhao,3 and Qihu Zhang1

1Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, China
2Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan 453003, China
3Department of Mathematics, Ocean University of China, Qingdao, Shandong 266071, China

Received 5 October 2010; Accepted 15 December 2010

Academic Editor: Jewgeni Dshalalow

Copyright © 2010 Rong Dong 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

By the Leray-Schauder's degree, the existence of solutions for a weighted 𝑝 ( 𝑡 ) -Laplacian impulsive integro-differential system with multi-point and integral boundary value conditions is considered. The sufficient results for the existence are given under the resonance and nonresonance cases, respectively. Moreover, we get the existence of nonnegative solutions at nonresonance.