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On the recursive sequence x n +1 = −1/ x n + A / x n −1
Stevo Stević
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Source: Crossref
Published: Jan 1, 2001
DOI: 10.1155/s0161171201010614
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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).
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