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On Second-Order Differential Equations with Nonhomogeneous -Laplacian

Abstract

Equation with general nonhomogeneous -Laplacian, including classical and singular -Laplacian, is investigated. Necessary and sufficient conditions for the existence of nonoscillatory solutions satisfying certain asymptotic boundary conditions are given and discrepancies between the general and classical are illustrated as well.

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Correspondence to Mauro Marini.

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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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Cecchi, M., Došlá, Z. & Marini, M. On Second-Order Differential Equations with Nonhomogeneous -Laplacian. Bound Value Probl 2010, 875675 (2010). https://doi.org/10.1155/2010/875675

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Full Article