Application of the averaging principle to the study of the dynamics of the delay logistic equation
type: Item
instance of: scholarly article
title: Application of the averaging principle to the study of the dynamics of the delay logistic equation
zbMATH Open document ID: 1409.34067
DOI: 10.1134/S0001434618070246
published in: Mathematical Notes
publication date: 2018-10-30T00:00:00Z
review text: The subject of this paper is the delay logistic equation \[ \frac{du}{dt} = r[1-a u (t-T)], \] where the coefficients \(r\), \(a\), and the delay \(T\) are fast oscillating functions with a frequency \(\omega\gg 1\). The averaging method is applied to this system. The existence of a periodic solution is shown. Additionally, its asymptotical representation and conditions for stability are obtained.
reviewed by: S. Yanchuk
Mathematics Subject Classification ID: 34K33
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6968690
zbMATH Keywords: averaging
zbMATH Keywords: stability
zbMATH Keywords: normal forms
zbMATH Keywords: bifurcations
zbMATH Keywords: asymptotics
author: S. A. Kashchenko
MaRDI profile type: Publication
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full work available at URL: s0001434618070246
OpenAlex ID: W2894969797
Wikidata QID: Q129132327
description: scientific article; zbMATH DE number 6968690