Mackey-Glass equation with variable coefficients

被引：32

作者：

Berezansky, L

Braverman, E ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[2] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 51卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

delay equations; extinction and persistence; Mackey-Glass equation; asymptotics; oscillation;

D O I：

10.1016/j.camwa.2005.09.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Mackey-Glass equation, [GRAPHICS] is considered, with variable coefficients and a nonconstant delay. Under rather natural assumptions all solutions are positive and bounded. Persistence and extinction conditions are presented for this equation. In the case when there exists a constant positive equilibrium, local asymptotic stability of the constant solution and oscillation about this equilibrium are analyzed. The results are illustrated by numerical examples. In particular, it is demonstrated that with delay in both terms, a solution with positive initial conditions may become negative. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1 / 16

页数：16

共 23 条

[1] EXISTENCE OF CHAOS IN CONTROL-SYSTEMS WITH DELAYED FEEDBACK [J].