Abstract and Applied Analysis
Volume 2012 (2012), Article ID 743469, 20 pages
http://dx.doi.org/10.1155/2012/743469
Research Article

Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

Shao-Yan Zhang1 and Qi-Ru Wang2

1Department of Mathematics, Guangdong University of Finance, 527 Yingfu Lu, Guangdong, Guangzhou 510520, China
2School of Mathematics & Computational Science, Sun Yat-Sen University, 135 Xinguang Xi Lu, Guangdong, Guangzhou 510275, China

Received 31 August 2012; Accepted 15 October 2012

Academic Editor: Zhanbing Bai

Copyright © 2012 Shao-Yan Zhang and Qi-Ru Wang. 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

This paper is concerned with oscillation of second-order nonlinear dynamic equations of the form on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases not covered by known criteria.