This paper deal with form, the periodicity and the
stability of the solutions of the systems of difference equations
\begin{equation}
x_{n+1}=\frac{1}{1- y_{n-k}},\,y_{n+1}=\frac{1}{ 1-
x_{n-k}}\label{eq2}
\end{equation}
where $\mathbb{N}_{0}=\mathbb{N}\cup \left\{0\right\}$ and the
initial conditions $x_{-k}$, $x_{-k+1},\ldots$, $x_{0}$, $y_{-k}$,
$y_{-k+1},\ldots$, $y_{0}$ are non zero real numbers. |