On the existence of periodic solutions to higher dimensional periodic system with delay

被引：0

作者：

Huang, XK ^{[1
]}

Dong, QX

机构：

[1] Beijing Inst Business, Dept Math, Beijing 100037, Peoples R China

[2] Beijing Inst Technol, Dept Appl Mech, Beijing 100081, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 1999年 / 20卷 / 08期

关键词：

delay; periodic solution; existence; coincidence degree;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, higher dimensional periodic systems with delay of the form x'(t) = A(t,x(t))x(t) + f(t,x(t-tau)), x'(t) = grad G(x(t)) + f(t,x(t-tau)) are considered. Using the coincidence degree method, some sufficient conditions to guarantee the existence of periodic solution for these systems are obtained. As an application of the results, the existence of a positive periodic solution for a logarithmic population model is proved.

引用

页码：908 / 911

页数：4

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