Abstract and Applied Analysis
Volume 2013 (2013), Article ID 359240, 11 pages
http://dx.doi.org/10.1155/2013/359240
Research Article

Interval Oscillation Criteria for Second-Order Nonlinear Forced Dynamic Equations with Damping on Time Scales

Yibing Sun, Zhenlai Han, Shurong Sun, and Chao Zhang

School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China

Received 27 November 2012; Revised 28 January 2013; Accepted 31 January 2013

Academic Editor: Patricia J. Y. Wong

Copyright © 2013 Yibing Sun 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

By using the Riccati transformation technique and constructing a class of Philos-type functions on time scales, we establish some new interval oscillation criteria for the second-order damped nonlinear dynamic equations with forced term of the form on a time scale which is unbounded, where is a quotient of odd positive integer. Our results in this paper extend and improve some known results. Some examples are given here to illustrate our main results.