Oscillation criteria for nonlinear difference equations with superlinear neutral term

In this paper, the authors obtain sufficient conditions for the oscillation of all solutions of the equation$$\Delta\left(a_n \Delta\left(x_n+p_n x_{n-k}^\alpha\right)\right)+q_n x_{n+1-l}^\beta=0$$where $\alpha \geq 1$ and $\beta>0$ are ratio of odd positive integers, and $\left\{a_n\right\},\left\{p_n\right\}$ and $\left\{q_n\right\}$ are real positive sequences. Examples are provided to illustrate the importance of the main results.