On the behavior of solutions of the system of rational difference equations xn+1=xn-1ynxn-1-1,yn+1=yn-1xnyn-1-1,zn+1=1ynzn
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چکیده
On the behavior of solutions of the system of rational 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 = 1 y n z n Abstract In this article, we investigate the solutions of the system of difference equations y n+1 = y n−1 x n y n−1 − 1 , y n+1 = y n−1 x n y n−1 − 1 , z n+1 = 1 y n z n where x 0 , x-1 , y 0 , y-1 , z 0 , z-1 real numbers such that y 0 x-1 ≠ 1, x 0 y-1 ≠ 1 and y 0 z 0 ≠ 0.
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