Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equationsof Emden-Fowler Type

Abstract

We establish some new oscillation criteria for the second-order neutral delay dynamic equations of Emden-Fowler type, ${\left[a\left(t\right)\right(x\left(t\right)+r\left(t\right)x{\left(\tau \right(t\left)\right))}^{\Delta }]}^{\Delta }+p\left(t\right)x^{\gamma }\left(\delta \right(t\left)\right)=0$, on a time scale unbounded above. Here is a quotient of odd positive integers with a and p being real-valued positive functions defined on $𝕋$. Our results in this paper not only extend and improve the results in the literature but also correct an error in one of the references.