Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay

In this paper, we establish sufficient conditions for the existence of mild and extremal solutions for some densely defined impulsive functional differential equations in separable Banach spaces with local and nonlocal conditions. We shall rely for the existence of mild solutions on a fixed point th...

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Autores principales:	Abada,Nadjet, Benchohra,Mouffak, Hammouche,Hadda
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Materias:	Densely defined operator impulsive functional differential equations fixed point semigroups mild solutions extremal mild solutions nonlocal condition separable Banach space
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200001
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spelling	oai:scielo:S0719-064620100002000012018-10-08Existence Results for Semilinear Differential Evolution Equations with Impulses and DelayAbada,NadjetBenchohra,MouffakHammouche,Hadda Densely defined operator impulsive functional differential equations fixed point semigroups mild solutions extremal mild solutions nonlocal condition separable Banach space In this paper, we establish sufficient conditions for the existence of mild and extremal solutions for some densely defined impulsive functional differential equations in separable Banach spaces with local and nonlocal conditions. We shall rely for the existence of mild solutions on a fixed point theorem due to Burton and Kirk for the sum of completely continuous and contraction operators, and for the existence of extremal solutions on Dhage’s fixed point theorem.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.2 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200001en10.4067/S0719-06462010000200001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Densely defined operator impulsive functional differential equations fixed point semigroups mild solutions extremal mild solutions nonlocal condition separable Banach space
spellingShingle	Densely defined operator impulsive functional differential equations fixed point semigroups mild solutions extremal mild solutions nonlocal condition separable Banach space Abada,Nadjet Benchohra,Mouffak Hammouche,Hadda Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay
description	In this paper, we establish sufficient conditions for the existence of mild and extremal solutions for some densely defined impulsive functional differential equations in separable Banach spaces with local and nonlocal conditions. We shall rely for the existence of mild solutions on a fixed point theorem due to Burton and Kirk for the sum of completely continuous and contraction operators, and for the existence of extremal solutions on Dhage’s fixed point theorem.
author	Abada,Nadjet Benchohra,Mouffak Hammouche,Hadda
author_facet	Abada,Nadjet Benchohra,Mouffak Hammouche,Hadda
author_sort	Abada,Nadjet
title	Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay
title_short	Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay
title_full	Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay
title_fullStr	Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay
title_full_unstemmed	Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay
title_sort	existence results for semilinear differential evolution equations with impulses and delay
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2010
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200001
work_keys_str_mv	AT abadanadjet existenceresultsforsemilineardifferentialevolutionequationswithimpulsesanddelay AT benchohramouffak existenceresultsforsemilineardifferentialevolutionequationswithimpulsesanddelay AT hammouchehadda existenceresultsforsemilineardifferentialevolutionequationswithimpulsesanddelay
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Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay

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