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

On Second-Order Differential Equations with Nonhomogeneous Φ-Laplacian

Mariella Cecchi1 , Zuzana Došlá2 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, Kotlá {r}ská 2, 60000 Brno, Czech Republic

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.