Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters

Autores
Spies, Ruben Daniel
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The Frechet di®erentiability with respect to a parameter q of the solutions z(t; q) of Cauchy problems of the form d/dt z(t) = A(q)z(t) + F(q; t; z(t)) is analyzed. Su±cient conditions on the operator A(q) and on F are derived and the corresponding sensitivity equations for the Frechet derivative Dqz(t; q) are found.
Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/100617
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to ParametersSpies, Ruben Danielhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The Frechet di®erentiability with respect to a parameter q of the solutions z(t; q) of Cauchy problems of the form d/dt z(t) = A(q)z(t) + F(q; t; z(t)) is analyzed. Su±cient conditions on the operator A(q) and on F are derived and the corresponding sensitivity equations for the Frechet derivative Dqz(t; q) are found.Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaUniversidad Austral2004-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/100617Spies, Ruben Daniel; Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters; Universidad Austral; Revista MAT Serie A; 8; 12-2004; 1-101515-4904CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.austral.edu.ar/cienciasempresariales/conocimiento-e-impacto/publicaciones/revista-mat/revista-matserie-a/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-01-14T12:06:39Zoai:ri.conicet.gov.ar:11336/100617instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-01-14 12:06:40.0CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters
title Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters
spellingShingle Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters
Spies, Ruben Daniel
title_short Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters
title_full Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters
title_fullStr Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters
title_full_unstemmed Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters
title_sort Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters
dc.creator.none.fl_str_mv Spies, Ruben Daniel
author Spies, Ruben Daniel
author_facet Spies, Ruben Daniel
author_role author
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The Frechet di®erentiability with respect to a parameter q of the solutions z(t; q) of Cauchy problems of the form d/dt z(t) = A(q)z(t) + F(q; t; z(t)) is analyzed. Su±cient conditions on the operator A(q) and on F are derived and the corresponding sensitivity equations for the Frechet derivative Dqz(t; q) are found.
Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
description The Frechet di®erentiability with respect to a parameter q of the solutions z(t; q) of Cauchy problems of the form d/dt z(t) = A(q)z(t) + F(q; t; z(t)) is analyzed. Su±cient conditions on the operator A(q) and on F are derived and the corresponding sensitivity equations for the Frechet derivative Dqz(t; q) are found.
publishDate 2004
dc.date.none.fl_str_mv 2004-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/100617
Spies, Ruben Daniel; Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters; Universidad Austral; Revista MAT Serie A; 8; 12-2004; 1-10
1515-4904
CONICET Digital
CONICET
url http://hdl.handle.net/11336/100617
identifier_str_mv Spies, Ruben Daniel; Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters; Universidad Austral; Revista MAT Serie A; 8; 12-2004; 1-10
1515-4904
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.austral.edu.ar/cienciasempresariales/conocimiento-e-impacto/publicaciones/revista-mat/revista-matserie-a/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universidad Austral
publisher.none.fl_str_mv Universidad Austral
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.113929

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