On the recursive sequence x n + 1 = − 1 / x n + A / x n − 1

Stevo Stević

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-6

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).

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:180895

DOI: 10.1155/S0161171201010614

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