An abstract neutral functional differential equation arising from a cell population model
type: Item
instance of: scholarly article
title: An abstract neutral functional differential equation arising from a cell population model
zbMATH Open document ID: 0949.34064
author: O. Sidki
author: Ovide Arino
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-11-26T00:00:00Z
review text: The present paper exhibits an abstract neutral functional-differential equation arising from a cell population model, which is a modification of a model first proposed by \textit{M. Kimmel, Z. Darzynkiewicz, O. Arino} and \textit{J. Traganos} [Theor. Biol. 110, 637-665 (1984)]. It is shown that a large class of such equations can be solved by means of the theory of nonlinear semigroups. Applications to the cell population model are detailed.
reviewed by: Rong Yuan
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 1340134
zbMATH Keywords: cell population model
zbMATH Keywords: functional-differential equation
Wikidata QID: Q115395386
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6365
OpenAlex ID: W2078410982
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cites work: Functional differential equations
DOI: 10.1006/JMAA.1999.6365
description: scientific article; zbMATH DE number 1340134