Oscillation of second-order Emden-Fowler neutral delay differential equations

In this article, we establish new oscillation criteria for the second-order Emden-Fowler neutral delay differential equation $$ \Big(r(t)|z'(t)|^{\alpha-1}z'(t)\Big)'+q(t)|x(\sigma(t))|^{\beta-1} x\big(\sigma(t)\big)=0, $$ where $z(t)=x(t)+p(t)x(\tau(t)), \alpha>0$ and $\beta>0$. Our results improve some well-known results which were published recently in the literature. Some illustrative examples are also provided to show the significance of our results.