New Oscillation Criteria of Second-Order Nonlinear Delay Dynamic Equations on Time Scales

Quanxin Zhang, Li Gao

Department of Mathematics, Binzhou University, Shandong, China.

DOI: 10.4236/am.2014.521325                

Abstract

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.

Keywords

Oscillation Criterion, Dynamic Equations, Time Scale

Conflicts of Interest

The authors declare no conflicts of interest.

References

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