Perron's theorem for nondensely defined partial functional differential equations

The aim of this work is to establish a Perron type theorem for some nondensely defined partial functional differential equations with infinite delay. More specifically, we show that if the nonlinear delayed part is "small" (in a sense to be made precise below), then the asymptotic behavior...

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Main Authors:	Nadia Drisi, Brahim Es-sebbar, Khalil Ezzinbi
Format:	Article
Language:	English
Published:	University of Szeged 2017-11-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Subjects:	unctional differential equations asymptotic behavior perron's theorem
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6093

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spelling	doaj-e94eec1ae9414f4a9d7ac9a52c3cccf52021-07-14T07:21:30ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752017-11-0120178112010.14232/ejqtde.2017.1.816093Perron's theorem for nondensely defined partial functional differential equationsNadia Drisi0Brahim Es-sebbar1Khalil Ezzinbi2Faculty of Sciences Semlalia, Cadi Ayyad University, Marrakesh, MoroccoFaculty of Sciences Semlalia, Cadi Ayyad University, Marrakesh, MoroccoUniversité Cadi Ayyad, Faculté des Sciences Semlalia, Département de Mathématiques, Marrakesh, MoroccoThe aim of this work is to establish a Perron type theorem for some nondensely defined partial functional differential equations with infinite delay. More specifically, we show that if the nonlinear delayed part is "small" (in a sense to be made precise below), then the asymptotic behavior of solutions can be described in terms of the dynamic of the unperturbed linear part of the equation.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6093unctional differential equationsasymptotic behaviorperron's theorem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nadia Drisi Brahim Es-sebbar Khalil Ezzinbi
spellingShingle	Nadia Drisi Brahim Es-sebbar Khalil Ezzinbi Perron's theorem for nondensely defined partial functional differential equations Electronic Journal of Qualitative Theory of Differential Equations unctional differential equations asymptotic behavior perron's theorem
author_facet	Nadia Drisi Brahim Es-sebbar Khalil Ezzinbi
author_sort	Nadia Drisi
title	Perron's theorem for nondensely defined partial functional differential equations
title_short	Perron's theorem for nondensely defined partial functional differential equations
title_full	Perron's theorem for nondensely defined partial functional differential equations
title_fullStr	Perron's theorem for nondensely defined partial functional differential equations
title_full_unstemmed	Perron's theorem for nondensely defined partial functional differential equations
title_sort	perron's theorem for nondensely defined partial functional differential equations
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2017-11-01
description	The aim of this work is to establish a Perron type theorem for some nondensely defined partial functional differential equations with infinite delay. More specifically, we show that if the nonlinear delayed part is "small" (in a sense to be made precise below), then the asymptotic behavior of solutions can be described in terms of the dynamic of the unperturbed linear part of the equation.
topic	unctional differential equations asymptotic behavior perron's theorem
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6093
work_keys_str_mv	AT nadiadrisi perronstheoremfornondenselydefinedpartialfunctionaldifferentialequations AT brahimessebbar perronstheoremfornondenselydefinedpartialfunctionaldifferentialequations AT khalilezzinbi perronstheoremfornondenselydefinedpartialfunctionaldifferentialequations
_version_	1721303535006515200

Perron's theorem for nondensely defined partial functional differential equations

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