In this work, we use the generalized Riccati transformation and the inequality technique to establish some new oscillation criteria for the second-order nonlinear delay dynamic equation , on a time scale where is the quotient of odd positive integers and p(t) and q(t) are positive right-dense continuous (rd-continuous) functions on . Our results improve and extend some results established by Sun et al. 2009. Also our results unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation. Finally, we give some examples to illustrate our main results.
"Oscillation of Second-Order Nonlinear Delay Dynamic Equations on Time Scales." Int. J. Differ. Equ. 2011 (SI2) 1 - 15, 2011. https://doi.org/10.1155/2011/863801