Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions

Autores
Amster, Pablo Gustavo; Deboli, Alberto Fernando; Pinto, Manuel
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Revista con referato
Fil: Deboli, Alberto Fernando. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina.
Fil: Pinto, Manuel. Universidad de Chile. Facultad de Ciencias. Departamento de Matemática; Chile.
We consider the (w,Q)-periodic problem for a system of delay differential equations, where Q is an invertible matrix. Existence and multiplicity of solutions is proven under different conditions that extend well-known results for the periodic case Q=I and anti-periodic case Q=-I. In particular, the results apply to biological models with mixed terms of Nicholson, Lasota or Mackey type, and also vectorial versions of Nicholson or Mackey-Glass models.
Fuente
Discrete and Continuous Dynamical Systems - Series B. Jun. 2022; 27(3)
https://www.aimsciences.org/DCDS-B/article/2022/27/6
Materia
Delay Differentil Systems
Affine Periodic Solutions
Hartman Condition
Resonant Problems
Topolical Degree
Matemáticas
Nivel de accesibilidad
acceso restringido
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/4.0/
Repositorio
Repositorio Institucional UNGS
Institución
Universidad Nacional de General Sarmiento
OAI Identificador
oai:repositorio.ungs.edu.ar:UNGS/2423
Acceder
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oai_identifier_str oai:repositorio.ungs.edu.ar:UNGS/2423
network_acronym_str RIUNGS
repository_id_str
network_name_str Repositorio Institucional UNGS
spelling Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditionsAmster, Pablo GustavoDeboli, Alberto FernandoPinto, ManuelDelay Differentil SystemsAffine Periodic SolutionsHartman ConditionResonant ProblemsTopolical DegreeMatemáticasRevista con referatoFil: Deboli, Alberto Fernando. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina.Fil: Pinto, Manuel. Universidad de Chile. Facultad de Ciencias. Departamento de Matemática; Chile.We consider the (w,Q)-periodic problem for a system of delay differential equations, where Q is an invertible matrix. Existence and multiplicity of solutions is proven under different conditions that extend well-known results for the periodic case Q=I and anti-periodic case Q=-I. In particular, the results apply to biological models with mixed terms of Nicholson, Lasota or Mackey type, and also vectorial versions of Nicholson or Mackey-Glass models.American Institute of Mathematical Sciences2025-09-25T14:03:31Z2025-09-25T14:03:31Z2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfAmster, P., Deboli, A. F. y Pinto, M. (2022). Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions. Discrete and Continuous Dynamical Systems - Series B (DCDS-B), 27(3).1531-3492http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2423Discrete and Continuous Dynamical Systems - Series B. Jun. 2022; 27(3)https://www.aimsciences.org/DCDS-B/article/2022/27/6reponame:Repositorio Institucional UNGSinstname:Universidad Nacional de General Sarmientoenghttp://dx.doi.org/ 10.3934/dcdsb.2021171info:eu-repo/semantics/restrictedAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/2025-10-23T11:20:21Zoai:repositorio.ungs.edu.ar:UNGS/2423instacron:UNGSInstitucionalhttp://repositorio.ungs.edu.ar:8080/Universidad públicahttps://www.ungs.edu.ar/http://repositorio.ungs.edu.ar:8080/oaiubyd@campus.ungs.edu.arArgentinaopendoar:2025-10-23 11:20:22.138Repositorio Institucional UNGS - Universidad Nacional de General Sarmientofalse
dc.title.none.fl_str_mv Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions
title Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions
spellingShingle Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions
Amster, Pablo Gustavo
Delay Differentil Systems
Affine Periodic Solutions
Hartman Condition
Resonant Problems
Topolical Degree
Matemáticas
title_short Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions
title_full Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions
title_fullStr Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions
title_full_unstemmed Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions
title_sort Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
Deboli, Alberto Fernando
Pinto, Manuel
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
Deboli, Alberto Fernando
Pinto, Manuel
author_role author
author2 Deboli, Alberto Fernando
Pinto, Manuel
author2_role author
author
dc.subject.none.fl_str_mv Delay Differentil Systems
Affine Periodic Solutions
Hartman Condition
Resonant Problems
Topolical Degree
Matemáticas
topic Delay Differentil Systems
Affine Periodic Solutions
Hartman Condition
Resonant Problems
Topolical Degree
Matemáticas
dc.description.none.fl_txt_mv Revista con referato
Fil: Deboli, Alberto Fernando. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina.
Fil: Pinto, Manuel. Universidad de Chile. Facultad de Ciencias. Departamento de Matemática; Chile.
We consider the (w,Q)-periodic problem for a system of delay differential equations, where Q is an invertible matrix. Existence and multiplicity of solutions is proven under different conditions that extend well-known results for the periodic case Q=I and anti-periodic case Q=-I. In particular, the results apply to biological models with mixed terms of Nicholson, Lasota or Mackey type, and also vectorial versions of Nicholson or Mackey-Glass models.
description Revista con referato
publishDate 2022
dc.date.none.fl_str_mv 2022
2025-09-25T14:03:31Z
2025-09-25T14:03:31Z
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 Amster, P., Deboli, A. F. y Pinto, M. (2022). Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions. Discrete and Continuous Dynamical Systems - Series B (DCDS-B), 27(3).
1531-3492
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2423
identifier_str_mv Amster, P., Deboli, A. F. y Pinto, M. (2022). Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions. Discrete and Continuous Dynamical Systems - Series B (DCDS-B), 27(3).
1531-3492
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2423
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://dx.doi.org/ 10.3934/dcdsb.2021171
dc.rights.none.fl_str_mv info:eu-repo/semantics/restrictedAccess
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv restrictedAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv Discrete and Continuous Dynamical Systems - Series B. Jun. 2022; 27(3)
https://www.aimsciences.org/DCDS-B/article/2022/27/6
reponame:Repositorio Institucional UNGS
instname:Universidad Nacional de General Sarmiento
reponame_str Repositorio Institucional UNGS
collection Repositorio Institucional UNGS
instname_str Universidad Nacional de General Sarmiento
repository.name.fl_str_mv Repositorio Institucional UNGS - Universidad Nacional de General Sarmiento
repository.mail.fl_str_mv ubyd@campus.ungs.edu.ar
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score 12.471625

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