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.
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页码：273 / 284
页数：12
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