Ultimate boundedness results for solutions of certain third order nonlinear matrix differential equations
ABSTRACT: We present in this paper ultimate boundedness results for a third order nonlinear matrix differential equations of the form ...X +AX¨ + BX˙ + H(X) = P(t, X, X, ˙ X¨), where A, B are constant symmetric n × n matrices, X, H(X) and P(t, X, X, ˙ X¨) are real n×n matrices continuous in their re...
- Autores:
-
Afuwape Afuwape, Anthony
Omeike, Mathew Omonigho
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2010
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/25462
- Acceso en línea:
- http://hdl.handle.net/10495/25462
- Palabra clave:
- Ecuaciones diferenciales no lineales
Differential equations, nonlinear
Boundedness
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/2.5/co/
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Ultimate boundedness results for solutions of certain third order nonlinear matrix differential equations |
| title |
Ultimate boundedness results for solutions of certain third order nonlinear matrix differential equations |
| spellingShingle |
Ultimate boundedness results for solutions of certain third order nonlinear matrix differential equations Ecuaciones diferenciales no lineales Differential equations, nonlinear Boundedness |
| title_short |
Ultimate boundedness results for solutions of certain third order nonlinear matrix differential equations |
| title_full |
Ultimate boundedness results for solutions of certain third order nonlinear matrix differential equations |
| title_fullStr |
Ultimate boundedness results for solutions of certain third order nonlinear matrix differential equations |
| title_full_unstemmed |
Ultimate boundedness results for solutions of certain third order nonlinear matrix differential equations |
| title_sort |
Ultimate boundedness results for solutions of certain third order nonlinear matrix 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 |
Ecuaciones diferenciales no lineales Differential equations, nonlinear |
| topic |
Ecuaciones diferenciales no lineales Differential equations, nonlinear Boundedness |
| dc.subject.proposal.spa.fl_str_mv |
Boundedness |
| description |
ABSTRACT: We present in this paper ultimate boundedness results for a third order nonlinear matrix differential equations of the form ...X +AX¨ + BX˙ + H(X) = P(t, X, X, ˙ X¨), where A, B are constant symmetric n × n matrices, X, H(X) and P(t, X, X, ˙ X¨) are real n×n matrices continuous in their respective arguments. Our results give a matrix analogue of earlier results of Afuwape [1] and Meng [4], and extend other earlier results for the case in which we do not necessarily require that H(X) be differentiable. |
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2010 |
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2010 |
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2022-01-21T18:06:08Z |
| dc.date.available.none.fl_str_mv |
2022-01-21T18:06:08Z |
| dc.type.spa.fl_str_mv |
Artículo de investigación |
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1450-9628 |
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http://hdl.handle.net/10495/25462 |
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2406-3045 |
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http://hdl.handle.net/10495/25462 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
| dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Kragujev. J. Math. |
| dc.relation.citationendpage.spa.fl_str_mv |
94 |
| dc.relation.citationissue.spa.fl_str_mv |
33 |
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83 |
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Kragujevac Journal of Mathematics |
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http://creativecommons.org/licenses/by-nc-nd/2.5/co/ |
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https://creativecommons.org/licenses/by-nc-nd/4.0/ |
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Universidad de Kragujevac, Facultad de Ciencias |
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Kragujevac, Serbia |
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Universidad de Antioquia |
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Afuwape Afuwape, AnthonyOmeike, Mathew OmonighoModelación con Ecuaciones Diferenciales2022-01-21T18:06:08Z2022-01-21T18:06:08Z20101450-9628http://hdl.handle.net/10495/254622406-3045ABSTRACT: We present in this paper ultimate boundedness results for a third order nonlinear matrix differential equations of the form ...X +AX¨ + BX˙ + H(X) = P(t, X, X, ˙ X¨), where A, B are constant symmetric n × n matrices, X, H(X) and P(t, X, X, ˙ X¨) are real n×n matrices continuous in their respective arguments. Our results give a matrix analogue of earlier results of Afuwape [1] and Meng [4], and extend other earlier results for the case in which we do not necessarily require that H(X) be differentiable.COL002436512application/pdfengUniversidad de Kragujevac, Facultad de CienciasKragujevac, Serbiahttp://creativecommons.org/licenses/by-nc-nd/2.5/co/https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Ultimate boundedness results for solutions of certain third order nonlinear matrix 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/publishedVersionEcuaciones diferenciales no linealesDifferential equations, nonlinearBoundednessKragujev. J. Math.943383Kragujevac Journal of MathematicsPublicationORIGINALAfuwapeAnthony_2010_UltimateBoundednessResults .pdfAfuwapeAnthony_2010_UltimateBoundednessResults .pdfArtículo de investigaciónapplication/pdf141454https://bibliotecadigital.udea.edu.co/bitstreams/5cb2601d-f0d5-4051-9a29-97fb252fd95c/download237af474db00caa4614bae7d073873a7MD51trueAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/b60928a4-4b4b-464c-bfcc-2af1f2b653bb/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8823https://bibliotecadigital.udea.edu.co/bitstreams/fe57aa74-6c7c-4c93-87f3-71016257148d/downloadb88b088d9957e670ce3b3fbe2eedbc13MD52falseAnonymousREADTEXTAfuwapeAnthony_2010_UltimateBoundednessResults .pdf.txtAfuwapeAnthony_2010_UltimateBoundednessResults .pdf.txtExtracted texttext/plain16683https://bibliotecadigital.udea.edu.co/bitstreams/1916909b-3594-4986-aca6-6198dc5a0709/downloadcb27bec156dfd7cc448f2f198a7de90eMD54falseAnonymousREADTHUMBNAILAfuwapeAnthony_2010_UltimateBoundednessResults .pdf.jpgAfuwapeAnthony_2010_UltimateBoundednessResults .pdf.jpgGenerated Thumbnailimage/jpeg8699https://bibliotecadigital.udea.edu.co/bitstreams/8352dde8-dd93-459a-b62e-4b82c0a8a8d1/downloada888b1c49d9bac7a53158369dd033f87MD55falseAnonymousREAD10495/25462oai:bibliotecadigital.udea.edu.co:10495/254622025-03-26 22:21:02.687http://creativecommons.org/licenses/by-nc-nd/2.5/co/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |