Periodic solutions of neutral functional differential equations

被引：3
|
作者：
Wang, LL [1 ]
Wang, ZC
Zou, XF
机构：
[1] Hunan Univ, Dept Appl Math, Changsha 410082, Hunan, Peoples R China
[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2002年 / 65卷
基金：
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词：
D O I：
10.1112/S0024610701003076
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Periodic neutral functional differential equations are considered. Sufficient conditions for existence, uniqueness and global attractivity of periodic solutions are established by combining the theory of monotone semiflows generated by neutral functional differential equations and Krasnosel'skii's fixed-point theorem. These results are applied to a concrete neutral functional differential equation that can model single-species growth, the spread of epidemics, and the dynamics of capital stocks in a periodic environment.
引用
收藏
页码：439 / 452
页数：14
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