Authors: Stević, Stevo 
Title: On the recursive sequence xn+1=−1/xn+A/xn−1
Journal: International Journal of Mathematics and Mathematical Sciences
Volume: 27
First page: 180895
Issue Date: 2001
ISSN: 0161-1712
DOI: 10.1155/S0161171201010614
Abstract: 
We investigate the periodic character of solutions of the nonlinear difference equation xn+1=−1/xn+A/xn−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).
Publisher: Hindawi

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