Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments

In this paper, a logistic equation with multiple piecewise constant arguments is investigated in detail. We generalize the approach in two papers, [K. Uesugi, Y. Muroya, E. Ishiwata, On the global attractivity for a logistic equation with piecewise constant arguments, J. Math. Anal. Appl. 294 (2) (2...

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Detalles Bibliográficos
Autor: Nakata, Y.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/462
Acceso en línea:http://hdl.handle.net/20.500.11824/462
Access Level:acceso abierto
Palabra clave:3/2 type stability
Difference equations
Global asymptotic stability
Logistic equation
Piecewise constant arguments
Time delays
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spelling Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant argumentsNakata, Y.3/2 type stabilityDifference equationsGlobal asymptotic stabilityLogistic equationPiecewise constant argumentsTime delaysIn this paper, a logistic equation with multiple piecewise constant arguments is investigated in detail. We generalize the approach in two papers, [K. Uesugi, Y. Muroya, E. Ishiwata, On the global attractivity for a logistic equation with piecewise constant arguments, J. Math. Anal. Appl. 294 (2) (2004) 560580] and [Y. Muroya, E. Ishiwata, N. Guglielmi, Global stability for nonlinear difference equations with variable coefficients, J. Math. Anal. Appl. 334 (1) (2007) 232247], and establish a new condition for the global stability of the equation. Their results are given as one of the special cases. Moreover, we improve the 3/2 type stability condition under several dominance assumptions on the coefficients of the equation. Some examples and numerical simulations are also presented. All of these examples show that there are several conditions for the global stability of the equation, depending on the coefficients on the delay terms of the equation, beyond the 3/2 type stability condition.201720172010info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/462reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.scopus.com/inward/record.uri?eid=2-s2.0-77956175248&doi=10.1016%2fj.na.2010.06.081&partnerID=40&md5=c91ea3146fa90a0eb263c4fdbd86a28bReconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/4622026-06-19T12:47:47Z
dc.title.none.fl_str_mv Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
title Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
spellingShingle Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
Nakata, Y.
3/2 type stability
Difference equations
Global asymptotic stability
Logistic equation
Piecewise constant arguments
Time delays
title_short Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
title_full Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
title_fullStr Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
title_full_unstemmed Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
title_sort Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
dc.creator.none.fl_str_mv Nakata, Y.
author Nakata, Y.
author_facet Nakata, Y.
author_role author
dc.subject.none.fl_str_mv 3/2 type stability
Difference equations
Global asymptotic stability
Logistic equation
Piecewise constant arguments
Time delays
topic 3/2 type stability
Difference equations
Global asymptotic stability
Logistic equation
Piecewise constant arguments
Time delays
description In this paper, a logistic equation with multiple piecewise constant arguments is investigated in detail. We generalize the approach in two papers, [K. Uesugi, Y. Muroya, E. Ishiwata, On the global attractivity for a logistic equation with piecewise constant arguments, J. Math. Anal. Appl. 294 (2) (2004) 560580] and [Y. Muroya, E. Ishiwata, N. Guglielmi, Global stability for nonlinear difference equations with variable coefficients, J. Math. Anal. Appl. 334 (1) (2007) 232247], and establish a new condition for the global stability of the equation. Their results are given as one of the special cases. Moreover, we improve the 3/2 type stability condition under several dominance assumptions on the coefficients of the equation. Some examples and numerical simulations are also presented. All of these examples show that there are several conditions for the global stability of the equation, depending on the coefficients on the delay terms of the equation, beyond the 3/2 type stability condition.
publishDate 2010
dc.date.none.fl_str_mv 2010
2017
2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/462
url http://hdl.handle.net/20.500.11824/462
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.scopus.com/inward/record.uri?eid=2-s2.0-77956175248&doi=10.1016%2fj.na.2010.06.081&partnerID=40&md5=c91ea3146fa90a0eb263c4fdbd86a28b
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
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