Global Asymptotic Stability in a Class of Difference Equations

We study the difference equation xn=[(f×g1+g2+h)/(g1+f×g2+h)](xn−1,…,xn−r), n=1,2,…, x1−r,…,x0>0, where f,g1,g2:(R+)r→R+ and h:(R+)r→[0,+∞) are all continuous functions, and min1≤i≤r{ui,1/ui}≤f(u1,…,ur)≤max1≤iâ‰Â...

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Bibliographic Details
Main Authors: Jianqiu Cao, Yuan Yan Tang, Limin Cui, Xiaofan Yang
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2007/16249