Estimation of the Region of Global Stability of the Equilibrium State of the Logistic Equation with Delay

被引：9
|
作者：
Kashchenko, S. A. [1 ]
Loginov, D. O. [1 ]
机构：
[1] PG Demidov Yaroslavl State Univ, 14 Sovetskaya Str, Yaroslavl 150000, Russia
来源：
RUSSIAN MATHEMATICS | 2020年 / 64卷 / 09期
基金：
俄罗斯基础研究基金会;
关键词：
logistic equation; global stability; delay; one-dimensional mapping; asymptotics of solutions;
D O I：
10.3103/S1066369X20090042
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the question of determining all those parameters for which all positive solutions to the logistic equation with delay tend to zero as t -> infinity. The well-known Wright conjecture [1] on the estimation of the set of such parameters is proved. A methodology is developed that makes it possible to sequentially refine this estimate.
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页码：34 / 49
页数：16
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