Boundary Value Problems
Volume 2010 (2010), Article ID 875675, 17 pages
doi:10.1155/2010/875675
Research Article

On Second-Order Differential Equations with Nonhomogeneous Φ-Laplacian

Mariella Cecchi,1 Zuzana Došlá,2 and Mauro Marini1

1Department of Electronics and Telecommunications, University of Florence, Via S. Marta 3, 50139 Firenze, Italy
2Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 60000 Brno, Czech Republic

Received 23 September 2009; Accepted 18 January 2010

Academic Editor: Ivan T. Kiguradze

Copyright © 2010 Mariella Cecchi et al. 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.

Abstract

Equation with general nonhomogeneous Φ-Laplacian, including classical and singular Φ-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 Φ are illustrated as well.