### Oscillation criteria for third order nonlinear delay dynamic equations on time scales

By means of Riccati transformation technique, we establish some new oscillation criteria for third-order nonlinear delay dynamic equations ${\left({\left({x}^{\Delta \Delta}\left(t\right)\right)}^{\gamma}\right)}^{\Delta}+p\left(t\right){x}^{\gamma}\left(\tau \left(t\right)\right)=0$ on a time scale ; here γ > 0 is a quotient of odd positive integers and p a real-valued positive rd-continuous function defined on . Our results not only extend and improve the results of T. S. Hassan [Math. Comput. Modelling 49 (2009)] but also unify the results on oscillation of third-order delay differential equations and third-order delay difference...