Existence results for impulsive semilinear damped differential inclusions

Existence results for impulsive semilinear damped differential inclusions

In this paper we investigate the existence of mild solutions for first and second order impulsive semilinear evolution inclusions in separable Banach spaces. By using suitable fixed point theorems, we study the case when the multivalued map has convex and nonconvex values.

Bibliographic Details
Main Authors: Mouffak Benchohra, Johnny Henderson, Sotiris Ntouyas, Abdelghani Ouahab
Format: Article
Language:English
Published: University of Szeged 2003-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=124
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spelling doaj-7026848e0f5645f1a6d1d400a680a64b2021-07-14T07:21:18ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752003-06-0120031111910.14232/ejqtde.2003.1.11124Existence results for impulsive semilinear damped differential inclusionsMouffak Benchohra0Johnny Henderson1Sotiris Ntouyas2Abdelghani Ouahab3Université de Sidi Bel Abbés, Sidi Bel Abbés, AlgérieDepartment of Mathematics, Baylor University, Waco, TX, U.S.A.University of Ioannina, Ioannina, GreeceUniversité de Sidi Bel Abbés, Sidi Bel Abbés, AlgérieIn this paper we investigate the existence of mild solutions for first and second order impulsive semilinear evolution inclusions in separable Banach spaces. By using suitable fixed point theorems, we study the case when the multivalued map has convex and nonconvex values.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=124
collection DOAJ
language English
format Article
sources DOAJ
author Mouffak Benchohra
Johnny Henderson
Sotiris Ntouyas
Abdelghani Ouahab
spellingShingle Mouffak Benchohra
Johnny Henderson
Sotiris Ntouyas
Abdelghani Ouahab
Existence results for impulsive semilinear damped differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Mouffak Benchohra
Johnny Henderson
Sotiris Ntouyas
Abdelghani Ouahab
author_sort Mouffak Benchohra
title Existence results for impulsive semilinear damped differential inclusions
title_short Existence results for impulsive semilinear damped differential inclusions
title_full Existence results for impulsive semilinear damped differential inclusions
title_fullStr Existence results for impulsive semilinear damped differential inclusions
title_full_unstemmed Existence results for impulsive semilinear damped differential inclusions
title_sort existence results for impulsive semilinear damped differential inclusions
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2003-06-01
description In this paper we investigate the existence of mild solutions for first and second order impulsive semilinear evolution inclusions in separable Banach spaces. By using suitable fixed point theorems, we study the case when the multivalued map has convex and nonconvex values.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=124
work_keys_str_mv AT mouffakbenchohra existenceresultsforimpulsivesemilineardampeddifferentialinclusions
AT johnnyhenderson existenceresultsforimpulsivesemilineardampeddifferentialinclusions
AT sotirisntouyas existenceresultsforimpulsivesemilineardampeddifferentialinclusions
AT abdelghaniouahab existenceresultsforimpulsivesemilineardampeddifferentialinclusions
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