On the Recursive Sequence xn+1=A+xnp/xn−1p

This paper studies the boundedness, global attractivity, and periodicity of the positive solutions of the difference equation xn+1=A+xnp/xn−1p, n∈ℕ0, with p,A∈(0,∞). The main results give a complete picture regarding the boundedness character of the positive solutions of the equation.

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Bibliographic Details
Main Author: Stevo Stevic
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2007/34517
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Summary:This paper studies the boundedness, global attractivity, and periodicity of the positive solutions of the difference equation xn+1=A+xnp/xn−1p, n∈ℕ0, with p,A∈(0,∞). The main results give a complete picture regarding the boundedness character of the positive solutions of the equation.
ISSN:1026-0226
1607-887X