Abstract and Applied Analysis
Volume 2009 (2009), Article ID 897058, 12 pages
doi:10.1155/2009/897058
Research Article

Oscillation Criteria for a Class of Second-Order Nonlinear Differential Equations with Damping Term

Zigen Ouyang,1,2 Jichao Zhong,1,2 and Shuliang Zou1

1Center of Nuclear Energy Economy and Management, University of South China, Hengyang 421001, China
2School of Mathematics and Physics, University of South China, Hengyang 421001, China

Received 31 August 2009; Accepted 29 September 2009

Academic Editor: Yong Zhou

Copyright © 2009 Zigen Ouyang 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

A class of second-order nonlinear differential equations with damping term (r(t)|x′(t)|σ−1x′(t))′+p(t)|x′(t)|σ−1x′(t)+q(t)f(x(t))=0 are investigated in this paper. By using a new method, we obtain some new sufficient conditions for the oscillation of the above equation, and some references are extended in this paper. Examples are inserted to illustrate this result.