Long‐Term Behavior of Solutions of the Difference Equation xn+1 = xn−1xn−2 − 1

Candace M. Kent, Witold Kosmala and Stevo Stević

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We investigate the long‐term behavior of solutions of the following difference equation: xn+1 = xn−1xn−2 − 1, n ∈ ℕ0, where the initial values x−2, x−1, and x0 are real numbers. Numerous fascinating properties of the solutions of the equation are presented.

Date: 2010
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https://doi.org/10.1155/2010/152378

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:152378

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