Advances in Difference Equations
Volume 2010 (2010), Article ID 512437, 14 pages
doi:10.1155/2010/512437
Oscillation criteria for second-order quasilinear neutral delay dynamic equations on time scales
Yibing Sun
, Zhenlai Han
, Tongxing Li
and Guangrong Zhang
School of Science, University of Jinan, Jinan, Shandong 250022, China
Abstract
We establish some new oscillation criteria for the second-order quasilinear neutral delay dynamic equations [r(t)(zΔ(t))γ]Δ+q1(t)xα(τ1(t))+q2(t)xβ(τ2(t))=0 on a time scale 𝕋, where z(t)=x(t)+p(t)x(τ0(t)), 0<α<γ<β. Our results generalize and improve some known results for oscillation of second-order nonlinear delay dynamic equations on time scales. Some examples are considered to illustrate our main results.