On the instability of nonlinear functional differential equations of fifth order

The author gives sufficient conditions for non-existence of periodic solutions of two higher order nonlinear delay differential systems. Our technical approach is based on the construction of two suitable Lyapunov type functionals. An example is given to illustrate the obtained results. The main res...

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Autores:
Tunc, Cemil
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/68370
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/68370
http://bdigital.unal.edu.co/69403/
Palabra clave:
51 Matemáticas / Mathematics
Non-existence of periodic solutions
Lyapunov functional
non- linear
differential equation
delay
fifth order
No existencia de soluciones periódicas
funcional Lyapunov
no linealidad
ecuaciones diferenciales
atraso
orden cinco
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_4c231edfcef0a63fa8e1fb16c8b9e025
oai_identifier_str oai:repositorio.unal.edu.co:unal/68370
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_abf2Tunc, Cemil7a036632-81cb-4196-a649-606be477a8ae3002019-07-03T06:35:28Z2019-07-03T06:35:28Z2017-07-01ISSN: 2357-6529https://repositorio.unal.edu.co/handle/unal/68370http://bdigital.unal.edu.co/69403/The author gives sufficient conditions for non-existence of periodic solutions of two higher order nonlinear delay differential systems. Our technical approach is based on the construction of two suitable Lyapunov type functionals. An example is given to illustrate the obtained results. The main results here improve recent results found on the topic in the literature from the case of without delay to the delay case.El autor presenta condiciones suficientes para la existencia de soluciones periódicas de dos ecuaciones diferenciales con retraso de alto orden. El enfoque técnico se fundamenta en la construcción de funcionales de Lyapunov adecuados. Un ejemplo ilustra los resultados obtenidos. El resultado principal presentado en este artículo mejora un resultado reciente en el tema de pasar el caso sin atraso al caso con atraso.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticashttps://revistas.unal.edu.co/index.php/bolma/article/view/70886Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasTunc, Cemil (2017) On the instability of nonlinear functional differential equations of fifth order. Boletín de Matemáticas, 24 (2). pp. 155-168. ISSN 2357-652951 Matemáticas / MathematicsNon-existence of periodic solutionsLyapunov functionalnon- lineardifferential equationdelayfifth orderNo existencia de soluciones periódicasfuncional Lyapunovno linealidadecuaciones diferencialesatrasoorden cincoOn the instability of nonlinear functional differential equations of fifth orderArtículo 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/ARTORIGINAL70886-374935-1-SM.pdfapplication/pdf289767https://repositorio.unal.edu.co/bitstream/unal/68370/1/70886-374935-1-SM.pdfa4cecbc5c55599625d46a1755f28b31cMD51THUMBNAIL70886-374935-1-SM.pdf.jpg70886-374935-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5768https://repositorio.unal.edu.co/bitstream/unal/68370/2/70886-374935-1-SM.pdf.jpg1b601cd20cb5a2249ab7337e00255cf9MD52unal/68370oai:repositorio.unal.edu.co:unal/683702023-06-03 23:03:17.844Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On the instability of nonlinear functional differential equations of fifth order
title On the instability of nonlinear functional differential equations of fifth order
spellingShingle On the instability of nonlinear functional differential equations of fifth order
51 Matemáticas / Mathematics
Non-existence of periodic solutions
Lyapunov functional
non- linear
differential equation
delay
fifth order
No existencia de soluciones periódicas
funcional Lyapunov
no linealidad
ecuaciones diferenciales
atraso
orden cinco
title_short On the instability of nonlinear functional differential equations of fifth order
title_full On the instability of nonlinear functional differential equations of fifth order
title_fullStr On the instability of nonlinear functional differential equations of fifth order
title_full_unstemmed On the instability of nonlinear functional differential equations of fifth order
title_sort On the instability of nonlinear functional differential equations of fifth order
dc.creator.fl_str_mv Tunc, Cemil
dc.contributor.author.spa.fl_str_mv Tunc, Cemil
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Non-existence of periodic solutions
Lyapunov functional
non- linear
differential equation
delay
fifth order
No existencia de soluciones periódicas
funcional Lyapunov
no linealidad
ecuaciones diferenciales
atraso
orden cinco
dc.subject.proposal.spa.fl_str_mv Non-existence of periodic solutions
Lyapunov functional
non- linear
differential equation
delay
fifth order
No existencia de soluciones periódicas
funcional Lyapunov
no linealidad
ecuaciones diferenciales
atraso
orden cinco
description The author gives sufficient conditions for non-existence of periodic solutions of two higher order nonlinear delay differential systems. Our technical approach is based on the construction of two suitable Lyapunov type functionals. An example is given to illustrate the obtained results. The main results here improve recent results found on the topic in the literature from the case of without delay to the delay case.
publishDate 2017
dc.date.issued.spa.fl_str_mv 2017-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T06:35:28Z
dc.date.available.spa.fl_str_mv 2019-07-03T06:35:28Z
dc.type.spa.fl_str_mv Artículo de revista
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2357-6529
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/68370
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/69403/
identifier_str_mv ISSN: 2357-6529
url https://repositorio.unal.edu.co/handle/unal/68370
http://bdigital.unal.edu.co/69403/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/bolma/article/view/70886
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.references.spa.fl_str_mv Tunc, Cemil (2017) On the instability of nonlinear functional differential equations of fifth order. Boletín de Matemáticas, 24 (2). pp. 155-168. ISSN 2357-6529
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 Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/68370/1/70886-374935-1-SM.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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