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dc.rights.licenseAtribución-NoComercial 4.0 Internacional
dc.contributor.authorNaulin, Raúl
dc.date.accessioned2019-06-28T11:55:42Z
dc.date.available2019-06-28T11:55:42Z
dc.date.issued1991
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/43398
dc.description.abstractIn this note we consider the ordinary differential equation U' = AU +f(t, U), where A is a real, constant, n x n matrix with eigenvalues satisfying Reλ = 0. We assume that the solution U = 0 of the system U' =A U is stable. f is a C1 function, lim U→0 f(t, U) = 0 and lim U→0 Df(t, U) = 0 uniformly in t  (Df   is derivate of  f with respect to U). We prove that for any μ and gt; 0, there exists δ (μ) and gt; 0 such that for solutions U1, U2 with initial conditions ξ1, ξ 2,  ξ 1 "# ξ2, |ξ1| and lt; δ we havem limt→∞|U1 (t) – U2 (t)| eμt  = ∞.
dc.format.mimetypeapplication/pdf
dc.language.isospa
dc.publisherUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
dc.relationhttp://revistas.unal.edu.co/index.php/recolma/article/view/33360
dc.relation.ispartofUniversidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
dc.relation.ispartofRevista Colombiana de Matemáticas
dc.relation.ispartofseriesRevista Colombiana de Matemáticas; Vol. 25, núm. 1-4 (1991); 11-16 0034-7426
dc.rightsDerechos reservados - Universidad Nacional de Colombia
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.titleUna aplicación del teorema de liberalización de hartman
dc.typeArtículo de revista
dc.type.driverinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.eprintshttp://bdigital.unal.edu.co/33496/
dc.relation.referencesNaulin, Raúl (1991) Una aplicación del teorema de liberalización de hartman. Revista Colombiana de Matemáticas; Vol. 25, núm. 1-4 (1991); 11-16 0034-7426 .
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.subject.proposalOrdinary differential equation
dc.subject.proposalmatrix constant eigenvalues
dc.type.coarhttp://purl.org/coar/resource_type/c_6501
dc.type.coarversionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.contentText
dc.type.redcolhttp://purl.org/redcol/resource_type/ART
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2


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Atribución-NoComercial 4.0 InternacionalThis work is licensed under a Creative Commons Reconocimiento-NoComercial 4.0.This document has been deposited by the author (s) under the following certificate of deposit