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

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 https://static-content.springer.com/image/art%3A10.1155%2F2010%2F875675/MediaObjects/13661_2009_Article_963_IEq2_HTML.gif -Laplacian, including classical and singular https://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 https://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.