Linearized oscillation theory for a nonlinear equation with a distributed delay

被引：19
|
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.
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页码：287 / 304
页数：18
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