The global attractivity of a difference equation

被引：0

作者：

Qin, G.-X. ^{[1
]}

Xie, Y.-Q. ^{[1
]}

机构：

[1] Dept. of Information and Computation, Chaengsha Communications University, Changsha 410076, China

来源：

Xiangtan Daxue Ziran Kexue Xuebao | 2001年 / 23卷 / 01期

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摘要：

Consider the difference equation xn = exp[α(1 - xn)/(1 - βxn] n is a member of the set of N, where α > 0, β is a member of the set of (0,1) and 0 less than or equal x0 less than or equal 1/β. We show that when α [less-than or equal to] 1 - β, every solution of the equation suit 0 less than or equal xn less than or equal 1/β. Furthermore the equilibrium point x over-bar = 1 is asymptotically stable. The result is got that the equilibrium point x over-bar = 1 is the sufficient conditions of global attractor.

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页码：12 / 16