Solutions of the Difference Equation xn+1 = xnxn−1 − 1

Candace M. Kent, Witold Kosmala, Michael A. Radin and Stevo Stević

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

Abstract: Our goal in this paper is to investigate the long‐term behavior of solutions of the following difference equation: xn+1 = xnxn−1 − 1, n = 0, 1, 2, …, where the initial conditions x−1 and x0 are real numbers. We examine the boundedness of solutions, periodicity of solutions, and existence of unbounded solutions and how these behaviors depend on initial conditions.

Date: 2010
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https://doi.org/10.1155/2010/469683

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:469683

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