Direct exponential ordering for neutral compartmental systems with non-autonomous \(D\)-operator
type: Item
instance of: scholarly article
title: Direct exponential ordering for neutral compartmental systems with non-autonomous \(D\)-operator
zbMATH Open document ID: 1326.37011
author: Víctor M. Villarragut
author: Rafael Obaya
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2013-03-19T00:00:00Z
review text: This work deals with closed compartmental systems which are described by non-autonomous neutral and recurrent functional differential equations with infinite delay of the form: \[ \frac{d}{dt}D(\omega.t;z_{t})=F(\omega.t;z_{t}) \] where \(D\) is a stable linear operator. The authors introduce some basic concepts from the theory of skew product semiflows and the appropriate topological dynamics techniques. Under some suitable assumptions which guarantee that the semiflow is monotone for the direct exponential ordering, the authors study the long-term behavior of relatively compact trajectories by describing the structure of minimal and omega-limit sets.
reviewed by: Mohamed Zitane
Mathematics Subject Classification ID: 37B55
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K14
zbMATH DE Number: 6146706
zbMATH Keywords: non-autonomous dynamical systems
zbMATH Keywords: monotone skew-product semiflows
zbMATH Keywords: neutral functional differential equations
zbMATH Keywords: infinite delay
zbMATH Keywords: compartmental systems
MaRDI profile type: Publication
full work available at URL: dcdsb.2013.18.185
OpenAlex ID: W2316961147
DOI: 10.3934/DCDSB.2013.18.185
description: scientific article; zbMATH DE number 6146706