Advances in Difference Equations
Volume 2007 (2007), Article ID 70730, 16 pages
doi:10.1155/2007/70730
Research Article

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

Zhenlai Han,1,2 Bao Shi,1 and Shurong Sun2

1Institute of Applied Mathematics, Naval Aeronautical Engineering Institute, Yantai 264001, Shandong, China
2School of Science, Jinan University, Jinan 250022, Shandong, China

Received 4 September 2006; Revised 15 January 2007; Accepted 9 February 2007

Academic Editor: Martin J. Bohner

Copyright © 2007 Zhenlai Han 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 means of Riccati transformation technique, we establish some new oscillation criteria for the second-order nonlinear delay dynamic equations (p(t)(xΔ(t))γ)Δ+q(t)f(x(τ(t)))=0 on a time scale T, here γ≥1 is a quotient of odd positive integers with p and q real-valued positive rd-continuous functions defined on T.