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Oscillatory Property of Solutions for-Laplacian Equations

Abstract

We consider the oscillatory property of the following-Laplacian equations,. Since there is no Picone-type identity for- Laplacian equations, it is an unsolved problem that whether the Sturmian comparison theorems for-Laplacian equations are valid or not. We obtain sufficient conditions of the oscillatory of solutions for-Laplacian equations.

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Correspondence to Qihu Zhang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zhang, Q. Oscillatory Property of Solutions for-Laplacian Equations. J Inequal Appl 2007, 058548 (2007). https://doi.org/10.1155/2007/58548

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Keywords

  • Laplacian Equation
  • Unsolved Problem
  • Comparison Theorem
  • Oscillatory Property
  • Sturmian Comparison Theorem