On the number of positive periodic solutions of functional differential equations and population models

被引：10
作者：
Jiang, DQ [1 ]
O'Regan, D
Agarwal, RP
Xu, XJ
机构：
[1] NE Normal Univ, Dept Math, Changchun 130024, Jilin, Peoples R China
[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland
[3] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2005年 / 15卷 / 04期
基金：
中国国家自然科学基金;
关键词：
functional differential equation; positive periodic solution; population models;
D O I：
10.1142/S0218202505000467
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we employ the fixed point index on cones to study the existence, multiplicity and nonexistence of positive periodic solutions to a system of infinite delay equations, chi(t) = A(t)chi(t) + lambda f(t, chi t) in which lambda > 0 is a parameter. We prove some general theorems and establish new periodicity conditions for several population growth models.
引用
收藏
页码：555 / 573
页数：19
相关论文
共 22 条
123