Abstract and Applied Analysis
Volume 2011 (2011), Article ID 972656, 10 pages
http://dx.doi.org/10.1155/2011/972656
Research Article

Generalized Variational Principles on Oscillation for Nonlinear Nonhomogeneous Differential Equations

Jing Shao1 and Fanwei Meng2

1Department of Mathematics, Jining University, Qufu 273155, China
2School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

Received 30 June 2010; Revised 28 December 2010; Accepted 18 January 2011

Academic Editor: Allan C. Peterson

Copyright © 2011 Jing Shao and Fanwei Meng. 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

Using the generalized variational principle and the Riccati technique, new oscillation criteria are established for the forced second-order nonlinear differential equation, which improves and generalizes some of the new results in literature.