Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 965313, 26 pages
doi:10.1155/2010/965313
Research Article

Existence and Asymptotic Behavior of Solutions for Weighted p(t)-Laplacian Integrodifferential System Multipoint and Integral Boundary Value Problems in Half Line

Yan Wang,1,2 Yunrui Guo,3 and Qihu Zhang1,2

1Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, China
2School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu 221116, China
3Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan 453003, China

Received 5 February 2010; Revised 13 June 2010; Accepted 28 June 2010

Academic Editor: P. J. Y. Wong

Copyright © 2010 Yan Wang 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 and asymptotic behavior of solutions for weighted p(t)-Laplacian integro-differential system with multipoint and integral boundary value condition in half line. When the nonlinearity term f satisfies sub-(p−−1) growth condition or general growth condition, we give the existence of solutions via Leray-Schauder degree. Moreover, the existence of nonnegative solutions has been discussed.