On the Behaviour of the Solutions of a Second-Order Difference Equation

We study the difference equation xn+1=α−xn/xn−1, n∈ℕ0, where α∈ℝ and where x−1 and x0 are so chosen that the corresponding solution (xn) of the equation is defined for every n∈ℕ. We prove that when α=3 the equilibrium x¯=2 of the equation is not stable, which corrects a result due to X. X. Yan, W. T...

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Bibliographic Details
Main Authors: Leonid Gutnik, Stevo Stevic
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2007/27562