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dc.rights.licenseAtribución-NoComercial 4.0 Internacional
dc.contributor.authorRestrepo, Guillermo
dc.date.accessioned2019-06-28T10:28:32Z
dc.date.available2019-06-28T10:28:32Z
dc.date.issued1968
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/42043
dc.description.abstractLet H be a Hilbert space over the reals and let f: H → R1 be a function of class C1.  We have shown in |1|  that the differential equationdu/dt= -T (u(t) ),u(0)= uo                                                                                                                                               (1)(T = grad f) has global solutions if i) ≥ c||x-y ||2 , c and gt; 0,ii) f is bounded from below;iii) T is locally Lipschitzian. To be precise, in [1;Th.3] we heve assumed f to be of class C2 and f" to be locally bounded. However, the hypothesis  f"  is locally bounded implies that  f'´ = T is locally Lipschitzian, and this is what matters to show existence and uniqueness.
dc.format.mimetypeapplication/pdf
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dc.publisherUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
dc.relationhttp://revistas.unal.edu.co/index.php/recolma/article/view/31495
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. 2, núm. 2 (1968); 45-49 0034-7426
dc.rightsDerechos reservados - Universidad Nacional de Colombia
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.titleOn the method of the steepest, descent
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/32140/
dc.relation.referencesRestrepo, Guillermo (1968) On the method of the steepest, descent. Revista Colombiana de Matemáticas; Vol. 2, núm. 2 (1968); 45-49 0034-7426 .
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.subject.proposalEcuaciones diferencias
dc.subject.proposalnúmeros reales
dc.type.coarhttp://purl.org/coar/resource_type/c_6501
dc.type.coarversionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
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dc.type.redcolhttp://purl.org/redcol/resource_type/ART
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2


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