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On Second-Order Differential Equations with Nonhomogeneous -Laplacian

Boundary Value Problems volume 2010, Article number: 875675 (2010) Cite this article

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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Authors and Affiliations

  1. Department of Electronics and Telecommunications, University of Florence, Via S. Marta 3, 50139, Firenze, Italy

    Mariella Cecchi & Mauro Marini

  2. Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 60000, Brno, Czech Republic

    Zuzana Došlá

Authors
  1. Mariella Cecchi
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  2. Zuzana Došlá
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  3. Mauro Marini
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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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  • DOI: https://doi.org/10.1155/2010/875675

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
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