Nonresonance impulsive higher order functional nonconvex-valued differential inclusions

Nonresonance impulsive higher order functional nonconvex-valued differential inclusions

In this paper, the authors investigate the existence of solutions for nonresonance impulsive higher order functional differential inclusions in Banach spaces with nonconvex valued right hand side. They present two results. In the first one, they rely on a fixed point theorem for contraction multival...

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Main Authors: Mouffak Benchohra, John Graef, Johnny Henderson, Sotiris Ntouyas
Format: Article
Language:English
Published: University of Szeged 2002-01-01
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=133
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spelling doaj-9c5f8c615822494a817794877a3a4c4c2021-07-14T07:21:18ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752002-01-0120021311310.14232/ejqtde.2002.1.13133Nonresonance impulsive higher order functional nonconvex-valued differential inclusionsMouffak Benchohra0John Graef1Johnny Henderson2Sotiris Ntouyas3Université de Sidi Bel Abbés, Sidi Bel Abbés, AlgérieUniversity of Tennessee at Chattanooga, Chattanooga, TN, U.S.A.Department of Mathematics, Baylor University, Waco, TX, U.S.A.University of Ioannina, Ioannina, GreeceIn this paper, the authors investigate the existence of solutions for nonresonance impulsive higher order functional differential inclusions in Banach spaces with nonconvex valued right hand side. They present two results. In the first one, they rely on a fixed point theorem for contraction multivalued maps due to Covitz and Nadler, and for the second one, they use Schaefer's fixed point theorem combined with lower semi-continuous multivalued operators with decomposable values.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=133
collection DOAJ
language English
format Article
sources DOAJ
author Mouffak Benchohra
John Graef
Johnny Henderson
Sotiris Ntouyas
spellingShingle Mouffak Benchohra
John Graef
Johnny Henderson
Sotiris Ntouyas
Nonresonance impulsive higher order functional nonconvex-valued differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Mouffak Benchohra
John Graef
Johnny Henderson
Sotiris Ntouyas
author_sort Mouffak Benchohra
title Nonresonance impulsive higher order functional nonconvex-valued differential inclusions
title_short Nonresonance impulsive higher order functional nonconvex-valued differential inclusions
title_full Nonresonance impulsive higher order functional nonconvex-valued differential inclusions
title_fullStr Nonresonance impulsive higher order functional nonconvex-valued differential inclusions
title_full_unstemmed Nonresonance impulsive higher order functional nonconvex-valued differential inclusions
title_sort nonresonance impulsive higher order functional nonconvex-valued differential inclusions
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2002-01-01
description In this paper, the authors investigate the existence of solutions for nonresonance impulsive higher order functional differential inclusions in Banach spaces with nonconvex valued right hand side. They present two results. In the first one, they rely on a fixed point theorem for contraction multivalued maps due to Covitz and Nadler, and for the second one, they use Schaefer's fixed point theorem combined with lower semi-continuous multivalued operators with decomposable values.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=133
work_keys_str_mv AT mouffakbenchohra nonresonanceimpulsivehigherorderfunctionalnonconvexvalueddifferentialinclusions
AT johngraef nonresonanceimpulsivehigherorderfunctionalnonconvexvalueddifferentialinclusions
AT johnnyhenderson nonresonanceimpulsivehigherorderfunctionalnonconvexvalueddifferentialinclusions
AT sotirisntouyas nonresonanceimpulsivehigherorderfunctionalnonconvexvalueddifferentialinclusions
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