Periodic solutions to functional evolution equations
type: Item
instance of: scholarly article
title: Periodic solutions to functional evolution equations
zbMATH Open document ID: 1029.34064
DOI: 10.1016/S0362-546X(02)00113-X
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-11T00:00:00Z
review text: The authors first discuss stability properties of delay differential equations (DDEs). Then they compare and extend this analysis to linear multistep methods methods applied to DDEs. The characteristic roots of the system of DDEs are important in the context of stability and bifurcation analysis. They prove convergence orders for the charaeristic root approximations and analyze under what condition for the steplength the discrete integration scheme retains certain delay-independent stablility properties of the original equations. The authors concentrate on the recovery of both stability and instability. These findings are illustrated with a number of numerical test results.
reviewed by: R. S. Dahiya
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34K18
zbMATH DE Number: 1880098
zbMATH Keywords: functional evolution equation
zbMATH Keywords: M-accretive operator
zbMATH Keywords: bounded solution
zbMATH Keywords: periodic generalized solution
author: Gabriela Liţcanu
MaRDI profile type: Publication
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cites work: Q3904867
full work available at URL: s0362-546x(02)00113-x
OpenAlex ID: W2101538186
description: scientific article; zbMATH DE number 1880098