Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 926518, 22 pages
doi:10.1155/2009/926518
Research Article

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

Zhimei Qiu,1 Qihu Zhang,1,2 and Yan Wang1

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

Received 5 January 2009; Accepted 20 June 2009

Academic Editor: Alberto Cabada

Copyright © 2009 Zhimei Qiu 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 system multipoint boundary value problems in half line. When the nonlinearity term f(t,⋅,⋅) satisfies sub-(p--1) growth condition or general growth condition, we give the existence of solutions via Leray-Schauder degree.