Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions

Detalhes bibliográficos
Autor(a) principal: Machado, J. A. Tenreiro
Data de Publicação: 2013
Outros Autores: Ravichandran, Chokkalingam, Rivero, Margarita, Trujillo, Juan J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/3454
Resumo: In this paper, we establish the controllability for a class of abstract impulsive mixed-type functional integro-differential equations with finite delay in a Banach space. Some sufficient conditions for controllability are obtained by using the Mönch fixed point theorem via measures of noncompactness and semigroup theory. Particularly, we do not assume the compactness of the evolution system. An example is given to illustrate the effectiveness of our results.
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spelling Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditionsControllabilityImpulsive differential equationsMeasures of noncompactnessSemigroup theoryFixed pointIn this paper, we establish the controllability for a class of abstract impulsive mixed-type functional integro-differential equations with finite delay in a Banach space. Some sufficient conditions for controllability are obtained by using the Mönch fixed point theorem via measures of noncompactness and semigroup theory. Particularly, we do not assume the compactness of the evolution system. An example is given to illustrate the effectiveness of our results.SpringerOpenRepositório Científico do Instituto Politécnico do PortoMachado, J. A. TenreiroRavichandran, ChokkalingamRivero, MargaritaTrujillo, Juan J.2014-01-23T15:16:15Z20132013-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/3454eng1687-181210.1186/1687-1812-2013-66info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-13T12:43:15Zoai:recipp.ipp.pt:10400.22/3454Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:24:26.165937Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions
title Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions
spellingShingle Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions
Machado, J. A. Tenreiro
Controllability
Impulsive differential equations
Measures of noncompactness
Semigroup theory
Fixed point
title_short Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions
title_full Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions
title_fullStr Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions
title_full_unstemmed Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions
title_sort Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions
author Machado, J. A. Tenreiro
author_facet Machado, J. A. Tenreiro
Ravichandran, Chokkalingam
Rivero, Margarita
Trujillo, Juan J.
author_role author
author2 Ravichandran, Chokkalingam
Rivero, Margarita
Trujillo, Juan J.
author2_role author
author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Machado, J. A. Tenreiro
Ravichandran, Chokkalingam
Rivero, Margarita
Trujillo, Juan J.
dc.subject.por.fl_str_mv Controllability
Impulsive differential equations
Measures of noncompactness
Semigroup theory
Fixed point
topic Controllability
Impulsive differential equations
Measures of noncompactness
Semigroup theory
Fixed point
description In this paper, we establish the controllability for a class of abstract impulsive mixed-type functional integro-differential equations with finite delay in a Banach space. Some sufficient conditions for controllability are obtained by using the Mönch fixed point theorem via measures of noncompactness and semigroup theory. Particularly, we do not assume the compactness of the evolution system. An example is given to illustrate the effectiveness of our results.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01T00:00:00Z
2014-01-23T15:16:15Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/3454
url http://hdl.handle.net/10400.22/3454
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1687-1812
10.1186/1687-1812-2013-66
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv SpringerOpen
publisher.none.fl_str_mv SpringerOpen
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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