A global attractivity criterion for nonlinear non-autonomous difference equations

被引:13
|
作者
Tkachenko, Victor
Trofimchuk, Sergei
机构
[1] Univ Talca, Inst Matemat & Fis, Talca, Chile
[2] Natl Acad Sci Ukraine, Inst Math, UA-252143 Kiev, Ukraine
关键词
Yorke condition; 3/2-stability criterion; nonlinear difference equation;
D O I
10.1016/j.jmaa.2005.09.052
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish a discrete version of the celebrated Yorke and Wright 3/2-stability criterion for a family of strongly nonlinear non-autonomous difference equations of the form x(n+1) = x(n) + a(n)f(n) (x(n), ..., x(n-k)). (c) 2005 Elsevier Inc. All rights reserved.
引用
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页码:901 / 912
页数:12
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