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

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  • Stevo Stević

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).

Suggested Citation

  • Stevo Stević, 2001. "On the recursive sequence x n + 1 = − 1 / x n + A / x n − 1," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 27, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:180895
    DOI: 10.1155/S0161171201010614
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