Journal of Inequalities and Applications (Aug 2007)

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

  • Qihu Zhang

DOI
https://doi.org/10.1155/2007/58548
Journal volume & issue
Vol. 2007

Abstract

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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.