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

Revista con referato

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Autores principales: Amster, Pablo Gustavo, Deboli, Alberto Fernando, Pinto, Manuel
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: American Institute of Mathematical Sciences 2025
Materias:
Delay Differentil Systems
Affine Periodic Solutions
Hartman Condition
Resonant Problems
Topolical Degree
Matemáticas
Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2423
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Repositorio Institucional Digital de Acceso Abierto (UNGS) de Universidad Nacional de General Sarmiento
id I71-R177-UNGS-2423
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spelling I71-R177-UNGS-24232025-09-25T14:03:31Z Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions Amster, Pablo Gustavo Deboli, Alberto Fernando Pinto, Manuel Delay Differentil Systems Affine Periodic Solutions Hartman Condition Resonant Problems Topolical Degree Matemáticas 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. 2025-09-25T14:03:31Z 2025-09-25T14:03:31Z 2022 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion 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 eng http://dx.doi.org/ 10.3934/dcdsb.2021171 info:eu-repo/semantics/restrictedAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf American Institute of Mathematical Sciences Discrete and Continuous Dynamical Systems - Series B. Jun. 2022; 27(3) https://www.aimsciences.org/DCDS-B/article/2022/27/6
institution Universidad Nacional de General Sarmiento
institution_str I-71
repository_str R-177
collection Repositorio Institucional Digital de Acceso Abierto (UNGS)
language Inglés
orig_language_str_mv eng
topic Delay Differentil Systems
Affine Periodic Solutions
Hartman Condition
Resonant Problems
Topolical Degree
Matemáticas
spellingShingle Delay Differentil Systems
Affine Periodic Solutions
Hartman Condition
Resonant Problems
Topolical Degree
Matemáticas
Amster, Pablo Gustavo
Deboli, Alberto Fernando
Pinto, Manuel
Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions
topic_facet Delay Differentil Systems
Affine Periodic Solutions
Hartman Condition
Resonant Problems
Topolical Degree
Matemáticas
description Revista con referato
format Artículo
Artículo
publishedVersion
author Amster, Pablo Gustavo
Deboli, Alberto Fernando
Pinto, Manuel
author_facet Amster, Pablo Gustavo
Deboli, Alberto Fernando
Pinto, Manuel
author_sort Amster, Pablo Gustavo
title Hartman and Nirenberg type results for systems of delay differential equations under (w, Q)- periodic conditions
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
publisher American Institute of Mathematical Sciences
publishDate 2025
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2423
work_keys_str_mv AT amsterpablogustavo hartmanandnirenbergtyperesultsforsystemsofdelaydifferentialequationsunderwqperiodicconditions
AT debolialbertofernando hartmanandnirenbergtyperesultsforsystemsofdelaydifferentialequationsunderwqperiodicconditions
AT pintomanuel hartmanandnirenbergtyperesultsforsystemsofdelaydifferentialequationsunderwqperiodicconditions
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