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Open Access Open Badges Research Article

On Second-Order Differential Equations with Nonhomogeneous -Laplacian

Mariella Cecchi1, Zuzana Došlá2 and Mauro Marini1*

Author Affiliations

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

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

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Boundary Value Problems 2010, 2010:875675  doi:10.1155/2010/875675

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2010/1/875675

Received:23 September 2009
Accepted:18 January 2010
Published:31 January 2010

© 2010 The Author(s).

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.


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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