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