Existence and global attractivity of a positive periodic solution of a class of delay differential equation

被引：23

作者：

Li, YK ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1998年 / 41卷 / 03期

基金：

中国国家自然科学基金;

关键词：

delay differential equation; logistic equation; positive periodic solution; global attractivity; Fredholm mapping;

D O I：

10.1007/BF02879046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and the global attractivity of a positive periodic solution of the delay differential equation (y) over dot(t) = y(t)F[t, y(t - tau(1)(t)),..., y(t - tau(n)(t))] are studied by using some techniques of the Mawhin coincidence degree theory and the constructing suitable Liapunov functionals. When these results are applied to some special delay bio-mathematics models, some new results are obtained, and many known results are improved.

引用

页码：273 / 284

页数：12

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