Global asymptotic stability for minimum-delay difference equations

被引：1

作者：

Berenhaut, Kenneth S. ^{[1
]}

Guy, Richard T. ^{[1
]}

Barrett, Christa L. ^{[1
]}

机构：

[1] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2011年 / 17卷 / 11期

关键词：

difference equations; global asymptotic stability; symmetric functions; ratios; periodicity; recursive equation; PERIODICITY; CONVERGENCE;

D O I：

10.1080/10236191003685924

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers equations of the form yn = min{f(y(n-k1), y(n-m1)), ... , f(y(n-kL), y(n-mL))}. Conditions on f and {(k(i), m(i))} which guarantee global asymptotic stability of positive solutions are provided. The results generalize recent work in the literature for equations of the form yn = f(y(n-k1); y(n-m1)). Asymptotic periodicity for solutions is also considered.

引用

页码：1581 / 1590

页数：10

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