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Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 63061, 10 pages
doi:10.1155/JIA/2006/63061

Riccati inequality and oscillation criteria for PDE with P-Laplacian

Zhiting Xu

Department of Mathematics, South China Normal University, Guangzhou 510631, China

Received 1 November 2003; Revised 25 December 2004; Accepted 25 December 2004

Abstract

Oscillation criteria for PDE with P-Laplacian div(A(x)‖Du‖p−2Du)+P(x)|u|p−2u=0 are obtained via Riccati inequality. Some of them are extensions of the results for the second-order linear ODE to this equation.