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

Recommended by Marta Garcia-Huidobro

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.