Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and Nonoscillation

Producción Científica

Detalles Bibliográficos
Autores: Núñez Jiménez, María del Carmen, Obaya, Rafael
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
País:España
Institución:Universidad de Valladolid
Repositorio:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/41602
Acceso en línea:https://doi.org/10.1007/s10884-017-9637-8
http://uvadoc.uva.es/handle/10324/41602
Access Level:acceso abierto
Palabra clave:Linear Hamiltonian systems
Exponential dichotomy
Weyl functions
Nonoscillation
Uniform weak disconjugacy
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spelling Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and NonoscillationNúñez Jiménez, María del CarmenObaya, RafaelLinear Hamiltonian systemsExponential dichotomyWeyl functionsNonoscillationUniform weak disconjugacyProducción CientíficaWe analyze the presence of exponential dichotomy (ED) and of global existence of Weyl functions M± for one-parametric families of finite-dimensional nonautonomous linear Hamiltonian systems defined along the orbits of a compact metric space, which are perturbed from an initial one in a direction which does not satisfy the classical Atkinson condition: either they do not have ED for any value of the parameter; or they have it for at least all the nonreal values, in which case theWeyl functions exist and are Herglotz. When the parameter varies in the real line, and if the unperturbed family satisfies the properties of exponential dichotomy and global existence of M+, then these two properties persist in a neighborhood of 0 which agrees either with the whole real line or with an open negative half-line; and in this last case, the ED fails at the right end value. The properties of ED and of global existence of M+ are fundamental to guarantee the solvability of classical minimization problems given by linear–quadratic control processes.MINECO/FEDER, projecto MTM2015-66330-PEuropean Commission, H2020-MSCA-ITN-2014.Springer2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://doi.org/10.1007/s10884-017-9637-8http://uvadoc.uva.es/handle/10324/41602reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidEspañolhttps://link.springer.com/article/10.1007/s10884-017-9637-8info:eu-repo/semantics/openAccessoai:uvadoc.uva.es:10324/416022026-06-13T12:44:47Z
dc.title.none.fl_str_mv Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and Nonoscillation
title Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and Nonoscillation
spellingShingle Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and Nonoscillation
Núñez Jiménez, María del Carmen
Linear Hamiltonian systems
Exponential dichotomy
Weyl functions
Nonoscillation
Uniform weak disconjugacy
title_short Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and Nonoscillation
title_full Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and Nonoscillation
title_fullStr Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and Nonoscillation
title_full_unstemmed Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and Nonoscillation
title_sort Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and Nonoscillation
dc.creator.none.fl_str_mv Núñez Jiménez, María del Carmen
Obaya, Rafael
author Núñez Jiménez, María del Carmen
author_facet Núñez Jiménez, María del Carmen
Obaya, Rafael
author_role author
author2 Obaya, Rafael
author2_role author
dc.subject.none.fl_str_mv Linear Hamiltonian systems
Exponential dichotomy
Weyl functions
Nonoscillation
Uniform weak disconjugacy
topic Linear Hamiltonian systems
Exponential dichotomy
Weyl functions
Nonoscillation
Uniform weak disconjugacy
description Producción Científica
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1007/s10884-017-9637-8
http://uvadoc.uva.es/handle/10324/41602
url https://doi.org/10.1007/s10884-017-9637-8
http://uvadoc.uva.es/handle/10324/41602
dc.language.none.fl_str_mv Español
language_invalid_str_mv Español
dc.relation.none.fl_str_mv https://link.springer.com/article/10.1007/s10884-017-9637-8
dc.rights.none.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 Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname:Universidad de Valladolid
instname_str Universidad de Valladolid
reponame_str UVaDOC. Repositorio Documental de la Universidad de Valladolid
collection UVaDOC. Repositorio Documental de la Universidad de Valladolid
repository.name.fl_str_mv
repository.mail.fl_str_mv
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