"In this paper, we obtain sufficient conditions for the oscillation of every solution of the difference equation egin{equation*} x_{n+1}-x_{n}+sumlimits_{i=1}^{m}p_{i}x_{n-k_{i}}+qx_{n-z}=0,,% ,n=0,1,2,cdots, end{equation*} where $p_{i}in mathbb{R}$, $k_{i}in mathbb{Z}$ for $i=1,2,cdots,m$ and $zin {-1,0}.$ Furthermore, we obtain sufficient conditions for the oscillation of all solutions of the equation egin{equation*} Delta ^{r}x_{n}+sumlimits_{i=1}^{m}p_{i}x_{n-k_{i}}=0,,,,n=0,1,2,cdots, end{equation*} where $p_{i}in mathbb{R}$, $k_{i}in mathbb{Z}$ for $i=1,2,cdots,m.$ The results are given terms of the $p_{i}$ and the $k_{i}$ for each $i=1,2,cdots,m.$"

Keywords: difference equation, oscillation