Stability property and essential spectrum of linear retarded functional differential equations
type: Item
instance of: scholarly article
title: Stability property and essential spectrum of linear retarded functional differential equations
zbMATH Open document ID: 1280.34073
author: Kai Liu
author: Liangjian Hu
author: Jiaowan Luo
published in: Journal of Computational and Applied Mathematics
publication date: 2013-02-21T00:00:00Z
review text: The subject of this paper is the stability and stabilization of a class of delay functional differential equations in a Banach space. Using a family of Green operators, the solutions of the considered problem can be represented explicitly. The new notion of the retarded essential spectrum is introduced which generalizes the essential spectrum. As applications of the theoretical results, the case of heat equation is presented, in which the asymptotic stability is determined by the retarded point spectrum of the system, and the case of some Euler-Bernoulli beam equations with time delay.
reviewed by: Andrei Horvat-Marc
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 34K08
zbMATH DE Number: 6138044
zbMATH Keywords: stability
zbMATH Keywords: exponential stability
zbMATH Keywords: essential spectrum
zbMATH Keywords: heat equations
zbMATH Keywords: Euler-Bernoulli beam equation with time delay
MaRDI profile type: Publication
full work available at URL: j.cam.2012.11.017
OpenAlex ID: W2085430232
DOI: 10.1016/J.CAM.2012.11.017
description: scientific article; zbMATH DE number 6138044