A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorCid, José Ángel
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.date.accessioned2019-10-26T10:18:50Z
dc.date.available2019-10-26T10:18:50Z
dc.date.issued2018
dc.description.abstractWe prove the following result: if a continuous vector field F is Lipschitz when restricted to the hypersurfaces determined by a suitable foliation and a transversal condition is satisfied at the initial condition, then F determines a locally unique integral curve. We also present some illustrative examples and sufficient conditions in order to apply our main resultgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipPartially supported by Xunta de Galicia (Spain), project EM2014/032 (both authors) and MINECO, project MTM2017-85054-C2-1-P (first author)gl
dc.identifier.citationCid, J., & Tojo, F. (2018). A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs. Electronic Journal Of Qualitative Theory Of Differential Equations, (13), 1-14. doi: 10.14232/ejqtde.2018.1.13gl
dc.identifier.doi10.14232/ejqtde.2018.1.13
dc.identifier.essn1417-3875
dc.identifier.urihttp://hdl.handle.net/10347/19946
dc.language.isoenggl
dc.publisherUniversity of Szegedgl
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/MTM2017-85054-C2-1-P/ES/TEORIA CUALITATIVA Y APLICACIONES DE ECUACIONES DIFERENCIALES FUNCIONALES Y ECUACIONES EN DIFERENCIAS
dc.relation.publisherversionhttps://doi.org/10.14232/ejqtde.2018.1.13gl
dc.rightsThis is an open access article distributed under the Creative Commons Attribution License (CC BY 4.0)gl
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectUniquenessgl
dc.subjectLipschitz conditiongl
dc.subjectFoliationgl
dc.subjectModulus of continuitygl
dc.subjectRotation formulagl
dc.titleA Lipschitz condition along a transversal foliation implies local uniqueness for ODEsgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication7d79f16f-87c6-4898-b9eb-1fed52f1819a
relation.isAuthorOfPublication.latestForDiscovery7d79f16f-87c6-4898-b9eb-1fed52f1819a

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