  In the present study we highlight some results related to the oscillation for
high order nonlinear generalized neutral difference equation in the following
form \begin{equation*}
\Delta_{\ell}\left(a(k)\Delta_{\ell}^{m-1}z(k)\right)+q(k)f(x({k-\rho\ell}))=0,
\label{1e} \end{equation*} where $z(k)=x(k)+p(k)x({\tau(k)})$.
