On the Behavior of Solutions of the System of Rational Difference Equations: x_n+1 = x_n−1/(y_nx_n−1 − 1), y_n+1 = y_n−1/(x_ny_n−1 − 1), andz_n+1 = z_n−1/(y_nz_n−1 − 1)

Abstract

We investigate the solutions of the system of difference equations x n +1 = x n −1 /( y n x n −1 − 1), y n +1 = y n −1 /( x n y n −1 − 1), z n +1 = z n −1 /( y n z n −1 − 1), where y 0 , y −1 , x 0 , x −1 , z −1 , z 0 ∈ ℝ .