Global behavior of solutions of a nonautonomous delay logistic difference equation

被引：14

作者：

Kocic, VL ^{[1
]}

Stutson, D ^{[1
]}

Arora, G ^{[1
]}

机构：

[1] Xavier Univ, Dept Math, New Orleans, LA 70125 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2004年 / 10卷 / 13-15期

关键词：

nonautonomous logistic equation; periodic solutions; boundedness; persistance;

D O I：

10.1080/10236190410001652766

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim in this paper is to investigate the asymptotic behavior of solutions of the following difference equation x(n+1) = a(n)x(n)/1+x(n-k), n = 0,1,... where {a(n)} is a positive bounded sequence and k is a positive integer. Sufficient conditions for boundedness and attractivity are obtained. The results are applied to the special case when {a(n)} is a periodic sequence with prime period p.

引用

页码：1267 / 1279

页数：13

共 6 条

[1]

[Anonymous], J DIFFERENCE EQUATIO

[2]

[Anonymous], DYNAM SYSTEMS APPL

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