Author(s)

Quanxin Zhang, Li Gao

Department of Mathematics, Binzhou University, Shandong, China.

By using the generalized Riccati transformation and the integral averaging technique, the paper establishes some new oscillation criteria for the second-order nonlinear delay dynamic equations on time scales. The results in this paper unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time scales. The Theorems in this paper are new even in the continuous and the discrete cases.

Oscillation Criterion, Dynamic Equations, Time Scale

Zhang, Q. and Gao, L. (2014) New Oscillation Criteria of Second-Order Nonlinear Delay Dynamic Equations on Time Scales. Applied Mathematics, 5, 3474-3483. doi: 10.4236/am.2014.521325.