Positive periodic solutions of coupled delay differential systems depending on two parameters

被引:13
|
作者
Zhang, GA [1 ]
Cheng, SS
机构
[1] Qingdao Polytech Univ, Dept Math, Shandong 266033, Peoples R China
[2] Natl Tsing Hua Univ, Dept Math, Hsinchu 30043, Taiwan
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2004年 / 8卷 / 04期
关键词
positive periodic solution; coupled differential equations; monotone method; topological degree;
D O I
10.11650/twjm/1500407709
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A coupled functional differential systems depending on two parameters is considered. It is shown that there are three mutually exclusive and exhaustive subsets Theta(1), Gamma and Theta(2) of the parameter space such that there exist at least two positive periodic solutions associated with pairs in Theta(1), at least one positive periodic solution associated with Gamma and none associated with Theta(2).
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页码:639 / 652
页数:14
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