Solution and Attractivity for a Rational Recursive Sequence

This paper is concerned with the behavior of solution of the nonlinear difference equation 𝑥𝑛+1=𝑎𝑥𝑛−1+𝑏𝑥𝑛𝑥𝑛−1/(𝑐𝑥𝑛+𝑑𝑥𝑛−2), 𝑛=0,1,…, where the initial conditions 𝑥−2, 𝑥−1, 𝑥0 are arbitrary positive real numbers and 𝑎,𝑏,𝑐,𝑑 are positive constants. Also, we give specific form of the solution of four sp...

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Bibliographic Details
Main Author: E. M. Elsayed
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/982309

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