Asymptotic theory for a class of functional differential equations with state-dependent delays
type: Item
instance of: scholarly article
title: Asymptotic theory for a class of functional differential equations with state-dependent delays
zbMATH Open document ID: 0857.34066
author: W. Desch
author: Janos Turi
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-08-29T00:00:00Z
review text: The authors study the asymptotic behaviour of the scalar valued functional differential equation with state dependent delay \(\dot x(t)=f(x[g(x(t))])+ h(t)\), \(t\geq 0\), \(x(t)=\varphi(t)\), \(t\leq 0\). The delay is considered to grow linearly or faster than its argument, \(f\) being monotone increasing. It is proved that, depending on the initial condition, some curves \(t-g(t)=\text{const}\), locally attract exact solutions. A study is made for the discretization of the given equation using a forward difference scheme.
reviewed by: Mira-Cristiana Anisiu
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 65Q05
zbMATH DE Number: 902526
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: functional differential equation with state dependent delay
zbMATH Keywords: discretization
zbMATH Keywords: forward difference scheme
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0127
OpenAlex ID: W2012748444
DOI: 10.1006/JMAA.1996.0127
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description: scientific article; zbMATH DE number 902526