EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY

EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY

In this work, we study the existence, regularity and stability of solutions for some nonlinear class of partial neutral functional differential equations. We assume that the linear part generates a compact analytic semigroup on a Banach space X, the delayed part is assumed to be continuous with resp...

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Autores principales: Chitioui,Taoufik, Ezzinbi,Khalil, Rebey,Amor
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:
Neutal equation
Analytic semigroup
Fractional power
Mild solution
Strict solution
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100004
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spelling oai:scielo:S0719-064620130001000042018-10-08EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAYChitioui,TaoufikEzzinbi,KhalilRebey,Amor Neutal equation Analytic semigroup Fractional power Mild solution Strict solution In this work, we study the existence, regularity and stability of solutions for some nonlinear class of partial neutral functional differential equations. We assume that the linear part generates a compact analytic semigroup on a Banach space X, the delayed part is assumed to be continuous with respect to the fractional power of the generator. For illustration, some application is provided for some model with diffusion and nonlinearity in the gradient.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.1 20132013-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100004en10.4067/S0719-06462013000100004
institution Scielo Chile
collection Scielo Chile
language English
topic Neutal equation
Analytic semigroup
Fractional power
Mild solution
Strict solution
spellingShingle Neutal equation
Analytic semigroup
Fractional power
Mild solution
Strict solution
Chitioui,Taoufik
Ezzinbi,Khalil
Rebey,Amor
EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY
description In this work, we study the existence, regularity and stability of solutions for some nonlinear class of partial neutral functional differential equations. We assume that the linear part generates a compact analytic semigroup on a Banach space X, the delayed part is assumed to be continuous with respect to the fractional power of the generator. For illustration, some application is provided for some model with diffusion and nonlinearity in the gradient.
author Chitioui,Taoufik
Ezzinbi,Khalil
Rebey,Amor
author_facet Chitioui,Taoufik
Ezzinbi,Khalil
Rebey,Amor
author_sort Chitioui,Taoufik
title EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY
title_short EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY
title_full EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY
title_fullStr EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY
title_full_unstemmed EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY
title_sort existence and stability in the α-norm for nonlinear neutral partial differential equations with finite delay
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2013
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100004
work_keys_str_mv AT chitiouitaoufik existenceandstabilityinthe945normfornonlinearneutralpartialdifferentialequationswithfinitedelay
AT ezzinbikhalil existenceandstabilityinthe945normfornonlinearneutralpartialdifferentialequationswithfinitedelay
AT rebeyamor existenceandstabilityinthe945normfornonlinearneutralpartialdifferentialequationswithfinitedelay
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