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
- Institución
- Universidad Nacional de General Sarmiento
- OAI Identificador
- oai:repositorio.ungs.edu.ar:UNGS/2423
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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/4.0/2025-09-29T15:02:01Zoai: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:2025-09-29 15:02:01.386Repositorio 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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1844623312372629504 |
score |
13.070432 |