Author/Authors :
Touafek، Nouressadat نويسنده LMAM Lab oratory, Department of Mathematics, Jijel University, 18000 Jijel, Algeria. ,
Abstract :
This paper deals with the
solutions of the systems of difference equations
$$x_{n+1}=\frac{y_{n-3}y_nx_{n-2}}{y_{n-3}x_{n-2}\pm y_{n-3}y_n \pm y_nx_{n-2}},
\,y_{n+1}=\frac{y_{n-2}x_{n-1}}{ 2y_{n-2}\pm x_{n-1}},\,n\in
\mathbb{N}_{0},$$ where $\mathbb{N}_{0}=\mathbb{N}\cup
\left\{0\right\}$, and initial values $x_{-2},\,
x_{-1},\,x_{0},\,y_{-3},\,y_{-2},\,y_{-1},\,y_{0}$ are non-zero real
numbers.