Long-Term Behavior of Solutions of the Difference Equation 𠑥 𠑛 + 1 = 𠑥 𠑛 − 1 𠑥 𠑛 − 2 − 1

Candace M. Kent, Witold Kosmala and Stevo Stević

Abstract and Applied Analysis, 2010, vol. 2010, 1-17

Abstract:

We investigate the long-term behavior of solutions of the following difference equation: 𠑥 𠑛 + 1 = 𠑥 𠑛 − 1 𠑥 𠑛 − 2 − 1 , 𠑛 ∈ ℕ 0 , where the initial values 𠑥 − 2 , 𠑥 − 1 , and 𠑥 0 are real numbers. Numerous fascinating properties of the solutions of the equation are presented.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:152378

DOI: 10.1155/2010/152378

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