On the logistic delay differential equations with piecewise constant argument and quasi-periodic time dependence
type: Item
instance of: scholarly article
title: On the logistic delay differential equations with piecewise constant argument and quasi-periodic time dependence
zbMATH Open document ID: 1024.34069
DOI: 10.1016/S0022-247X(02)00267-6
author: Rong Yuan
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: Complementing results due to \textit{G. Seifert} [J. Differ. Equations 164, No. 2, 451-458 (2000; Zbl 1009.34064)], it is shown that \(y'(t)= a(t)(a(t)- f(y[t]))\) admits on \(\mathbb{R}\) exactly one positive quasi-periodic solution \(y\) with frequencies \(1\), \(\omega_1,\dots,\omega_r\), which is then asymptotically stable, provided \(a\) is quasi-periodic with frequencies \(\omega_1,\dots,\omega_r\), \(f\) is entire with \(f(\mathbb{R})\subset\mathbb{R}\),with some additional involved conditions on \(f'\mid(0,\infty)\) and \(a\). No examples.
Mathematics Subject Classification ID: 34K14
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 1866619
zbMATH Keywords: logistic differential equation
zbMATH Keywords: quasiperiodic solution
zbMATH Keywords: piecewise constant argument
reviewed by: Hans Günzler
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1866619