Existence of Solutions for a Class of Weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-Laplacian System Multipoint Boundary Value Problems

Zhang, Qihu; Qiu, Zheimei; Liu, Xiaopin

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Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 791762, 18 pages
doi:10.1155/2008/791762

Research Article

Existence of Solutions for a Class of Weighted p(t)-Laplacian System Multipoint Boundary Value Problems

Qihu Zhang,^1,2,3 Zheimei Qiu,² and Xiaopin Liu²

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
³College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, China

Received 12 June 2008; Accepted 22 October 2008

Academic Editor: Alberto Cabada

Copyright © 2008 Qihu Zhang 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(t)-Laplacian system multipoint boundary value problems. 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.