Showing papers by "Stevo Stević published in 2001"

On the recursive sequence xn+1=−1/xn+A/xn−1

Abstract: We investigate the periodic character of solutions of the nonlinear difference equation x n + 1 = − 1 / x n + A / x n − 1 . We give sufficient conditions under which every positive solution of this equation converges to a period two solution. This confirms a conjecture in the work of DeVault et al. (2000).