Stability and boundedness of solutions of a kind of third-order delay differential equations
ABSTRACT: This paper studies the stability and boundedness of solutions of certain nonlinear third-order delay differential equations. Sufficient conditions for the stability and boundedness of solutions for the equations considered are obtained by constructing a Lyapunov functional.
- Autores:
-
Afuwape Afuwape, Anthony
Omeike, Mathew Omonigho
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2016
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/41796
- Acceso en línea:
- https://hdl.handle.net/10495/41796
- Palabra clave:
- Estabilidad
Stability
Ecuaciones diferenciales
Differential equations
Boundedness
Función de Lyapunov
Lyapunov functional
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by/4.0/
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| dc.title.spa.fl_str_mv |
Stability and boundedness of solutions of a kind of third-order delay differential equations |
| title |
Stability and boundedness of solutions of a kind of third-order delay differential equations |
| spellingShingle |
Stability and boundedness of solutions of a kind of third-order delay differential equations Estabilidad Stability Ecuaciones diferenciales Differential equations Boundedness Función de Lyapunov Lyapunov functional |
| title_short |
Stability and boundedness of solutions of a kind of third-order delay differential equations |
| title_full |
Stability and boundedness of solutions of a kind of third-order delay differential equations |
| title_fullStr |
Stability and boundedness of solutions of a kind of third-order delay differential equations |
| title_full_unstemmed |
Stability and boundedness of solutions of a kind of third-order delay differential equations |
| title_sort |
Stability and boundedness of solutions of a kind of third-order delay differential equations |
| dc.creator.fl_str_mv |
Afuwape Afuwape, Anthony Omeike, Mathew Omonigho |
| dc.contributor.author.none.fl_str_mv |
Afuwape Afuwape, Anthony Omeike, Mathew Omonigho |
| dc.contributor.researchgroup.spa.fl_str_mv |
Modelación con Ecuaciones Diferenciales |
| dc.subject.lemb.none.fl_str_mv |
Estabilidad Stability Ecuaciones diferenciales Differential equations |
| topic |
Estabilidad Stability Ecuaciones diferenciales Differential equations Boundedness Función de Lyapunov Lyapunov functional |
| dc.subject.proposal.spa.fl_str_mv |
Boundedness Función de Lyapunov Lyapunov functional |
| description |
ABSTRACT: This paper studies the stability and boundedness of solutions of certain nonlinear third-order delay differential equations. Sufficient conditions for the stability and boundedness of solutions for the equations considered are obtained by constructing a Lyapunov functional. |
| publishDate |
2016 |
| dc.date.issued.none.fl_str_mv |
2016 |
| dc.date.accessioned.none.fl_str_mv |
2024-09-05T04:16:49Z |
| dc.date.available.none.fl_str_mv |
2024-09-05T04:16:49Z |
| dc.type.spa.fl_str_mv |
Artículo de investigación |
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2238-3603 |
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https://hdl.handle.net/10495/41796 |
| dc.identifier.doi.none.fl_str_mv |
10.1590/S1807-03022010000300001 |
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1807-0302 |
| identifier_str_mv |
2238-3603 10.1590/S1807-03022010000300001 1807-0302 |
| url |
https://hdl.handle.net/10495/41796 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
| dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Comp. Appl. Math. |
| dc.relation.citationendpage.spa.fl_str_mv |
342 |
| dc.relation.citationissue.spa.fl_str_mv |
3 |
| dc.relation.citationstartpage.spa.fl_str_mv |
329 |
| dc.relation.citationvolume.spa.fl_str_mv |
29 |
| dc.relation.ispartofjournal.spa.fl_str_mv |
Computational and Applied Mathematics |
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https://creativecommons.org/licenses/by/4.0/ |
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http://creativecommons.org/licenses/by/2.5/co/ |
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openAccess |
| dc.format.extent.spa.fl_str_mv |
14 páginas |
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application/pdf |
| dc.publisher.spa.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
| dc.publisher.place.spa.fl_str_mv |
São Carlos, Brasil |
| institution |
Universidad de Antioquia |
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Afuwape Afuwape, AnthonyOmeike, Mathew OmonighoModelación con Ecuaciones Diferenciales2024-09-05T04:16:49Z2024-09-05T04:16:49Z20162238-3603https://hdl.handle.net/10495/4179610.1590/S1807-030220100003000011807-0302ABSTRACT: This paper studies the stability and boundedness of solutions of certain nonlinear third-order delay differential equations. Sufficient conditions for the stability and boundedness of solutions for the equations considered are obtained by constructing a Lyapunov functional.COL002436514 páginasapplication/pdfengSociedade Brasileira de Matemática Aplicada e ComputacionalSão Carlos, Brasilhttps://creativecommons.org/licenses/by/4.0/http://creativecommons.org/licenses/by/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Stability and boundedness of solutions of a kind of third-order delay differential equationsArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionEstabilidadStabilityEcuaciones diferencialesDifferential equationsBoundednessFunción de LyapunovLyapunov functionalComp. Appl. Math.342332929Computational and Applied MathematicsPublicationCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8927https://bibliotecadigital.udea.edu.co/bitstreams/b617b65f-4649-4c0f-b963-c8db0d2a0166/download1646d1f6b96dbbbc38035efc9239ac9cMD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/e2be0eb0-5ca6-4b86-9976-3ecfa8f2aac1/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADORIGINALAfuwapeAnthony_2010_ StabilityBoundednessSolutions.pdfAfuwapeAnthony_2010_ StabilityBoundednessSolutions.pdfArtículo de investigaciónapplication/pdf162177https://bibliotecadigital.udea.edu.co/bitstreams/3b1e04c8-ba24-477f-894a-a6e8776ac3c8/download40d7b6cbc518bbdbe253ebb36b87f5fdMD51trueAnonymousREADTEXTAfuwapeAnthony_2010_ StabilityBoundednessSolutions.pdf.txtAfuwapeAnthony_2010_ StabilityBoundednessSolutions.pdf.txtExtracted texttext/plain22437https://bibliotecadigital.udea.edu.co/bitstreams/fd20fd45-bfe4-4180-8aee-432bbe80d8f0/download056a7e3b4e02c39b78370d97a69b1c26MD56falseAnonymousREADTHUMBNAILAfuwapeAnthony_2010_ StabilityBoundednessSolutions.pdf.jpgAfuwapeAnthony_2010_ StabilityBoundednessSolutions.pdf.jpgGenerated Thumbnailimage/jpeg9999https://bibliotecadigital.udea.edu.co/bitstreams/17f7aab5-de30-4dc1-9d73-d2585e76fd61/download66bc143e1d9d21daad2747d9d92db449MD57falseAnonymousREAD10495/41796oai:bibliotecadigital.udea.edu.co:10495/417962025-03-26 17:22:35.881https://creativecommons.org/licenses/by/4.0/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |