Linearized oscillation theory for a nonlinear equation with a distributed delay

被引：20

作者：

Berezansky, Leonid ^{[2
]}

Braverman, Elena ^{[1
]}

机构：

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

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

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 48卷 / 1-2期

基金：

加拿大自然科学与工程研究理事会;

关键词：

oscillation; distributed delay; linearization; logistic equation; Lasota-Wazewska model; Nicholson's blowflies equation;

D O I：

10.1016/j.mcm.2007.10.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We obtain linearized oscillation theorems for the equation with distributed delays. (x)overdot(t) + Sigma(m)(k=1) r(k)(t) integral(t)(-infinity) f(k)(x(s)) d(s)R(k)(t, s) = 0. The results are applied to logistic, Lasota-Wazewska and Nicholson's blowflies equations with a distributed delay. In addition, the "Mean Value Theorem" is proved which claims that a solution of (1) also satisfies the linear equation with a variable concentrated delay. (x)overdot(t) + (Sigma(m)(k=1) r(k)(t)f'(k)(xi(k)(t))) x(g(t)) = 0. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：287 / 304

页数：18

共 52 条

[1] Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics [J].