Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 915739, 13 pages
doi:10.1155/2010/915739
Research Article

Existence of Solutions and Nonnegative Solutions for Prescribed Variable Exponent Mean Curvature Impulsive System Initialized Boundary Value Problems

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 10 May 2009; Accepted 23 January 2010

Academic Editor: Ondřej Dosly

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 and nonnegative solutions for prescribed variable exponent mean curvature impulsive system initialized boundary value problems. The proof of our main result is based upon Leray-Schauder's degree. The sufficient conditions for the existence of solutions and nonnegative solutions have been given.