The Periodic Character of the Difference Equation xn+1=f(xn−l+1,xn−2k+1)

In this paper, we consider the nonlinear difference equation xn+1=f(xn−l+1,xn−2k+1), n=0,1,…, where k,l∈{1,2,…} with 2k≠l and gcd(2k,l)=1 and the initial values x−α,x−α+1,…,x0∈(0,+∞) with α=max{l−1,2k−1}. We give sufficient...

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Bibliographic Details
Main Authors: Taixiang Sun, Hongjian Xi
Format: Article
Language:English
Published: SpringerOpen 2008-03-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2008/143723