Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations

Sufficient conditions for the existence of at least one positive periodic solution are established for a family of scalar periodic differential equations with infinite delay and nonlinear impulses. Our criteria, obtained by applying a fixed‐point argument to an original operator constructed here, al...

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Detalles Bibliográficos
Autores: Buedo Fernández, Sebastián, Faria, Teresa
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/24259
Acceso en línea:http://hdl.handle.net/10347/24259
Access Level:acceso abierto
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spelling Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equationsBuedo Fernández, SebastiánFaria, TeresaSufficient conditions for the existence of at least one positive periodic solution are established for a family of scalar periodic differential equations with infinite delay and nonlinear impulses. Our criteria, obtained by applying a fixed‐point argument to an original operator constructed here, allow to treat equations incorporating a rather general nonlinearity and impulses whose signs may vary. Applications to some classes of Volterra integro‐differential equations with unbounded or periodic delay and nonlinear impulses are given, extending and improving results in the literature.WileyUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización20202020-01-0120202020-01-01journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10347/24259reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/242592026-06-15T12:47:27Z
dc.title.none.fl_str_mv Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations
title Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations
spellingShingle Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations
Buedo Fernández, Sebastián
title_short Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations
title_full Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations
title_fullStr Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations
title_full_unstemmed Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations
title_sort Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations
dc.creator.none.fl_str_mv Buedo Fernández, Sebastián
Faria, Teresa
author Buedo Fernández, Sebastián
author_facet Buedo Fernández, Sebastián
Faria, Teresa
author_role author
author2 Faria, Teresa
author2_role author
dc.contributor.none.fl_str_mv Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
description Sufficient conditions for the existence of at least one positive periodic solution are established for a family of scalar periodic differential equations with infinite delay and nonlinear impulses. Our criteria, obtained by applying a fixed‐point argument to an original operator constructed here, allow to treat equations incorporating a rather general nonlinearity and impulses whose signs may vary. Applications to some classes of Volterra integro‐differential equations with unbounded or periodic delay and nonlinear impulses are given, extending and improving results in the literature.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01
2020
2020-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10347/24259
url http://hdl.handle.net/10347/24259
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname:Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
repository.name.fl_str_mv
repository.mail.fl_str_mv
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