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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