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.
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页码：1581 / 1590
页数：10
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