On a system of difference equations of third order solved in closed form

Youssouf Akrour, Nouressadat Touafek, Yacine Halim

In this note we show the the system of difference equations $$x_{n+1}=\frac{a{y}_{n-2}{x}_{n-1}{y}_n+b{x}_{n-1}{y}_{n-2}+c{y}_{n-2}+d}{y_{n-2}{x}_{n-1}{y}_n},$$ $$y_{n+1}=\dfrac{ax_{n-2}y_{n-1}x…