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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 475428, 5 pages
Research Article

New Oscillatory Behavior of Second-Order Nonlinear Dynamic Equations with Damping on Time Scales

Department of Mathematics, Binzhou University, Shandong 256603, China

Received 21 April 2014; Revised 28 May 2014; Accepted 29 May 2014; Published 9 June 2014

Academic Editor: Tongxing Li

Copyright © 2014 Shouhua Liu and Quanxin Zhang. 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.


We establish four new oscillation criteria of Grace-type for the second-order nonlinear dynamic equations with damping. These criteria extend known criteria for corresponding dynamic equations. Our results are new even in the continuous and the discrete cases.