Advances in Difference Equations
Volume 2007 (2007), Article ID 70730, 16 pages
doi:10.1155/2007/70730
Oscillation criteria for second-order delay dynamic equations on time scales
Zhenlai Han1
, Bao Shi1
and Shurong Sun3
1Institute of Applied Mathematics, Naval Aeronautical Engineering Institute, Yantai 264001, Shandong, China
3School of Science, Jinan University, Jinan 250022, Shandong, China
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.