Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 58548, 8 pages
doi:10.1155/2007/58548
Research Article

Oscillatory Property of Solutions for p(t)-Laplacian Equations

Qihu Zhang

Information and Computation Science Department, Zhengzhou University of Light Industry, Zhengzhou 450002, Henan, China

Received 24 March 2007; Revised 6 June 2007; Accepted 5 July 2007

Academic Editor: Marta Garcia-Huidobro

Copyright © 2007 Qihu Zhang. 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

We consider the oscillatory property of the following p(t)-Laplacian equations −(|u'|p(t)−2u')'=1/tθ(t)g(t,u), t>0. Since there is no Picone-type identity for p(t)- Laplacian equations, it is an unsolved problem that whether the Sturmian comparison theorems for p(x)-Laplacian equations are valid or not. We obtain sufficient conditions of the oscillatory of solutions for p(t)-Laplacian equations.