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Open Access

On Second-Order Differential Equations with Nonhomogeneous -Laplacian

Boundary Value Problems20102010:875675

Received: 23 September 2009

Accepted: 18 January 2010

Published: 31 January 2010


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.


Differential EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationFull Article

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Authors’ Affiliations

Department of Electronics and Telecommunications, University of Florence, Firenze, Italy
Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic


© 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.