On Second-Order Differential Equations with Nonhomogeneous http://static-content.springer.com/image/art%3A10.1155%2F2010%2F875675/MediaObjects/13661_2009_Article_963_IEq1_HTML.gif -Laplacian

  • Mariella Cecchi1,

    Affiliated with

    • Zuzana Došlá2 and

      Affiliated with

      • Mauro Marini1Email author

        Affiliated with

        Boundary Value Problems20102010:875675

        DOI: 10.1155/2010/875675

        Received: 23 September 2009

        Accepted: 18 January 2010

        Published: 31 January 2010

        Abstract

        Equation with general nonhomogeneous http://static-content.springer.com/image/art%3A10.1155%2F2010%2F875675/MediaObjects/13661_2009_Article_963_IEq2_HTML.gif -Laplacian, including classical and singular http://static-content.springer.com/image/art%3A10.1155%2F2010%2F875675/MediaObjects/13661_2009_Article_963_IEq3_HTML.gif -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 http://static-content.springer.com/image/art%3A10.1155%2F2010%2F875675/MediaObjects/13661_2009_Article_963_IEq4_HTML.gif are illustrated as well.

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        Authors’ Affiliations

        (1)
        Department of Electronics and Telecommunications, University of Florence
        (2)
        Department of Mathematics and Statistics, Masaryk University

        Copyright

        © Mariella Cecchi et al. 2010

        This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.