TITLE:
New Oscillation Criteria of Second-Order Nonlinear Delay Dynamic Equations on Time Scales
AUTHORS:
Quanxin Zhang, Li Gao
KEYWORDS:
Oscillation Criterion, Dynamic Equations, Time Scale
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.21,
December
15,
2014
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.