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

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.

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Bibliographic Details
Main Authors: Candace M. Kent, Witold Kosmala, Stevo Stević
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/152378
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