Publicação
A note on stability of impulsive scalar delay differential equations
| Resumo: | For a class of scalar delay differential equations with impulses and satisfying a Yorke-type condition, criteria for the global asymptotic stability of the zero solution are established. These equations possess a non-delayed feedback term, which will be used to refine the general results on stability presented in recent literature. The usual requirements on the impulses are also relaxed. As an application, sufficient conditions for the global attractivity of a periodic solution for an impulsive periodic model are given. |
|---|---|
| Autores principais: | Faria, Teresa |
| Outros Autores: | Oliveira, José J. |
| Assunto: | Delay differential equation Impulses Yorke condition Global attractivity Ciências Naturais::Matemáticas |
| Ano: | 2016 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| _version_ | 1867438190142423040 |
|---|---|
| author | Faria, Teresa |
| author2 | Oliveira, José J. |
| author2_role | author |
| author_facet | Faria, Teresa Oliveira, José J. |
| author_role | author |
| contributor_name_str_mv | RepositóriUM - Universidade do Minho |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Faria, Teresa\"},{\"Person.name\":\"Oliveira, José J.\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | RepositóriUM - Universidade do Minho |
| datacite.creators.creator.creatorName.fl_str_mv | Faria, Teresa Oliveira, José J. |
| datacite.date.Accepted.fl_str_mv | 2016-09-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2017-01-04T09:59:31Z |
| datacite.date.embargoed.fl_str_mv | 2017-01-04T09:59:31Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Delay differential equation Impulses Yorke condition Global attractivity Ciências Naturais::Matemáticas |
| datacite.titles.title.fl_str_mv | A note on stability of impulsive scalar delay differential equations |
| dc.contributor.none.fl_str_mv | RepositóriUM - Universidade do Minho |
| dc.creator.none.fl_str_mv | Faria, Teresa Oliveira, José J. |
| dc.date.Accepted.fl_str_mv | 2016-09-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2017-01-04T09:59:31Z |
| dc.date.embargoed.fl_str_mv | 2017-01-04T09:59:31Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/1822/44129 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | University Szeged, Bolyai Institute |
| dc.rights.cclincense.fl_str_mv | http://creativecommons.org/licenses/by/4.0/ |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.rights.rights.copyright.fl_str_mv | openAccess |
| dc.subject.none.fl_str_mv | Delay differential equation Impulses Yorke condition Global attractivity Ciências Naturais::Matemáticas |
| dc.title.fl_str_mv | A note on stability of impulsive scalar delay differential equations |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | For a class of scalar delay differential equations with impulses and satisfying a Yorke-type condition, criteria for the global asymptotic stability of the zero solution are established. These equations possess a non-delayed feedback term, which will be used to refine the general results on stability presented in recent literature. The usual requirements on the impulses are also relaxed. As an application, sufficient conditions for the global attractivity of a periodic solution for an impulsive periodic model are given. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| fulltext.url.fl_str_mv | https://repositorium.uminho.pt/bitstreams/740f3410-9ffa-4d2e-b768-8b206cc7df77/download |
| id | rum_ed185d86ebfa3ccb0eab01c933cedda3 |
| identifier.url.fl_str_mv | https://hdl.handle.net/1822/44129 |
| instacron_str | repositorium |
| institution | Universidade do Minho |
| instname_str | Universidade do Minho |
| language | eng |
| network_acronym_str | rum |
| network_name_str | RepositóriUM - Universidade do Minho |
| oai_identifier_str | oai:repositorium.uminho.pt:1822/44129 |
| organization_str_mv | urn:organizationAcronym:repositorium |
| person_str_mv | Faria, Teresa Oliveira, José J. |
| publishDate | 2016 |
| publisher.none.fl_str_mv | University Szeged, Bolyai Institute |
| reponame_str | RepositóriUM - Universidade do Minho |
| repository_id_str | urn:repositoryAcronym:rum |
| service_str_mv | urn:repositoryAcronym:rum |
| spelling | engUniversity Szeged, Bolyai InstituteporFor a class of scalar delay differential equations with impulses and satisfying a Yorke-type condition, criteria for the global asymptotic stability of the zero solution are established. These equations possess a non-delayed feedback term, which will be used to refine the general results on stability presented in recent literature. The usual requirements on the impulses are also relaxed. As an application, sufficient conditions for the global attractivity of a periodic solution for an impulsive periodic model are given.application/pdfporA note on stability of impulsive scalar delay differential equationsFaria, TeresaOliveira, José J.HostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISSNIsPartOf1417-3875DOIIsPartOf10.14232/ejqtde.2016.1.692017-01-04T09:59:31Z2016-092016-09-01T00:00:00ZHandlehttps://hdl.handle.net/1822/44129http://purl.org/coar/access_right/c_abf2open accessDelay differential equationImpulsesYorke conditionGlobal attractivityhttp://www.oecd.org/science/inno/38235147.pdfFields of Science and Technology (FOS)Ciências Naturais::Matemáticas301661 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal article2016-09http://creativecommons.org/licenses/by/4.0/openAccesshttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/740f3410-9ffa-4d2e-b768-8b206cc7df77/download |
| spellingShingle | A note on stability of impulsive scalar delay differential equations Faria, Teresa Delay differential equation Impulses Yorke condition Global attractivity Ciências Naturais::Matemáticas |
| status | SINGLETON |
| subject.fl_str_mv | Delay differential equation Impulses Yorke condition Global attractivity |
| subject.other.fl_str_mv | Ciências Naturais::Matemáticas |
| title | A note on stability of impulsive scalar delay differential equations |
| title_full | A note on stability of impulsive scalar delay differential equations |
| title_fullStr | A note on stability of impulsive scalar delay differential equations |
| title_full_unstemmed | A note on stability of impulsive scalar delay differential equations |
| title_short | A note on stability of impulsive scalar delay differential equations |
| title_sort | A note on stability of impulsive scalar delay differential equations |
| topic | Delay differential equation Impulses Yorke condition Global attractivity Ciências Naturais::Matemáticas |
| topic_facet | Delay differential equation Impulses Yorke condition Global attractivity Ciências Naturais::Matemáticas |
| url | https://hdl.handle.net/1822/44129 |
| visible | 1 |