On the solutions of the system of rational difference equations x_{n+1}=(x_{n-1}/x_{n-1}-1), y_{n+1}=(y_{n-1}/x_n y_{n-1}-1) and z_{n+1}=(z_{n-1}/x_n y_n z_{n-1}-1)

Abstract

In this\ paper, we introduce systems of difference equations, namely x_n+1 = (x_n-1 ∕ (x_n-1 - 1)), y_n+1 = (y_n-1 ∕ (x_n y_n-1-1)) and z_n+1 = (z_n-1 ∕ (x_n y_n z_n-1-1)). In addition, we obtain the general form of the solutions for these systems.