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

页码：555 / 573

页数：19