Author(s)

Quanxin Zhang, Xia Song, Li Gao

Department of Mathematics, Binzhou University, Shandong, China.

Based on Riccati transformation and the inequality technique, we establish some new sufficient conditions for oscillation of the second-order neutral delay dynamic equations on time scales. Our results not only extend and improve some known theorems, but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time scales. At the end of this paper, we give an example to illustrate the main results.

Oscillation, Dynamic Equations, Neutral, Time Scale

Zhang, Q. , Song, X. and Gao, L. (2016) On the Oscillation of Second-Order Nonlinear Neutral Delay Dynamic Equations on Time Scales. Journal of Applied Mathematics and Physics, 4, 1080-1089. doi: 10.4236/jamp.2016.46112.