Oscillation Criteria for Higher Order Nonlinear Generalized Neutral Difference Equations

Abstract

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 $z(k)=x(k)+p(k)x({\tau(k)})$.