A remark on exponential dichotomies

A proof of the existence of an exponential dichotomy for the linear system x'(t) = A(t)x(t) is given, based on the admissibility of the pair (B(∞), BA(∞)), where B(∞) is the space of continuous functions on the semiaxis J = [0,∞), values in Cn and having a limit as t →∞, and BA(∞) is the space...

Full description

Autores:
Naulin, Raúl
Tipo de recurso:
Article of journal
Fecha de publicación:
1999
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43722
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43722
http://bdigital.unal.edu.co/33820/
Palabra clave:
Exponential dichotomies
admissibility
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_cdbe15bab08a1600348f656722e7b798
oai_identifier_str oai:repositorio.unal.edu.co:unal/43722
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Naulin, Raúl25df13a8-27e4-46d5-b20f-0cea2b9db1743002019-06-28T12:21:48Z2019-06-28T12:21:48Z1999https://repositorio.unal.edu.co/handle/unal/43722http://bdigital.unal.edu.co/33820/A proof of the existence of an exponential dichotomy for the linear system x'(t) = A(t)x(t) is given, based on the admissibility of the pair (B(∞), BA(∞)), where B(∞) is the space of continuous functions on the semiaxis J = [0,∞), values in Cn and having a limit as t →∞, and BA(∞) is the space of bounded functions f on J such that A -1 ∈ B(∞).application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33741Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 33, núm. 1 (1999); 9-13 0034-7426Naulin, Raúl (1999) A remark on exponential dichotomies. Revista Colombiana de Matemáticas; Vol. 33, núm. 1 (1999); 9-13 0034-7426 .A remark on exponential dichotomiesArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTExponential dichotomiesadmissibilityORIGINAL33741-126614-1-PB.pdfapplication/pdf1901341https://repositorio.unal.edu.co/bitstream/unal/43722/1/33741-126614-1-PB.pdfde06e2b74ec7f8d7b84165c6cb7a211bMD51THUMBNAIL33741-126614-1-PB.pdf.jpg33741-126614-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6070https://repositorio.unal.edu.co/bitstream/unal/43722/2/33741-126614-1-PB.pdf.jpg2065a7115ab62f88e9b7139be3e33050MD52unal/43722oai:repositorio.unal.edu.co:unal/437222024-02-11 23:19:03.043Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv A remark on exponential dichotomies
title A remark on exponential dichotomies
spellingShingle A remark on exponential dichotomies
Exponential dichotomies
admissibility
title_short A remark on exponential dichotomies
title_full A remark on exponential dichotomies
title_fullStr A remark on exponential dichotomies
title_full_unstemmed A remark on exponential dichotomies
title_sort A remark on exponential dichotomies
dc.creator.fl_str_mv Naulin, Raúl
dc.contributor.author.spa.fl_str_mv Naulin, Raúl
dc.subject.proposal.spa.fl_str_mv Exponential dichotomies
admissibility
topic Exponential dichotomies
admissibility
description A proof of the existence of an exponential dichotomy for the linear system x'(t) = A(t)x(t) is given, based on the admissibility of the pair (B(∞), BA(∞)), where B(∞) is the space of continuous functions on the semiaxis J = [0,∞), values in Cn and having a limit as t →∞, and BA(∞) is the space of bounded functions f on J such that A -1 ∈ B(∞).
publishDate 1999
dc.date.issued.spa.fl_str_mv 1999
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:21:48Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:21:48Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43722
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33820/
url https://repositorio.unal.edu.co/handle/unal/43722
http://bdigital.unal.edu.co/33820/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33741
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 33, núm. 1 (1999); 9-13 0034-7426
dc.relation.references.spa.fl_str_mv Naulin, Raúl (1999) A remark on exponential dichotomies. Revista Colombiana de Matemáticas; Vol. 33, núm. 1 (1999); 9-13 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43722/1/33741-126614-1-PB.pdf
https://repositorio.unal.edu.co/bitstream/unal/43722/2/33741-126614-1-PB.pdf.jpg
bitstream.checksum.fl_str_mv de06e2b74ec7f8d7b84165c6cb7a211b
2065a7115ab62f88e9b7139be3e33050
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
_version_ 1814089827075751936