Advances in Difference Equations
Volume 2010 (2010), Article ID 642356, 15 pages
doi:10.1155/2010/642356
Oscillation for a class of second-order Emden-Fowler delay dynamic equations on time scales
Shurong Sun1
, Zhenlai Han1
, Ping Zhao3
and Chao Zhang1
1School of Science, University of Jinan, Jinan, Shandong 250022, China
3School of Control Science and Engineering, University of Jinan, Jinan, Shandong 250022, China
Abstract
By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order Emden-Fowler delay dynamic equations (rxΔ)Δ(t)+p(t)xγ(τ(t))=0 on a time scale 𝕋; here γ is a quotient of odd positive integers with r and p as real-valued positive rd-continuous functions defined on 𝕋. Our results in this paper not only extend the results given in Agarwal et al. (2005), Akin-Bohner et al. (2007) and Han et al. (2007) but also unify the results about oscillation of the second-order Emden-Fowler delay differential equation and the second-order Emden-Fowler delay difference equation.