Existence and uniqueness of Carathéodory and Filippov solutions for discontinuous systems of differential equations

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorLópez Pouso, Rodrigo
dc.contributor.authorRodríguez López, Jorge
dc.date.accessioned2025-12-19T10:22:15Z
dc.date.available2025-12-19T10:22:15Z
dc.date.issued2024
dc.description.abstractWe use essential limits inferior and superior of the nonlinear part of a discontinuous ODE to introduce some novel transversality conditions which imply that Filippov solutions are Carathéodory solutions. We also prove some uniqueness criteria based on different Lipschitz conditions on different parts of the domain separated from one another by boundaries which satisfy certain transversality conditions.
dc.description.peerreviewedSI
dc.identifier.citationLópez Pouso, R., Rodríguez-López, J., (2024) Existence and uniqueness of Carathéodory and Filippov solutions for discontinuous systems of differential equations. "Electron. J. Qual. Theory Differ. Equ.", 50, 1-19. DOI: https://doi.org/10.14232/ejqtde.2024.1.50
dc.identifier.issn1417-3875
dc.identifier.urihttps://hdl.handle.net/10347/44612
dc.issue.number50
dc.journal.titleElectronic Journal of Qualitative Theory of Differential Equations
dc.language.isoeng
dc.page.final19
dc.page.initial1
dc.publisherUniversity of Szeged
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020- 113275GB-I00/ES/ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALES Y APLICACIONES
dc.relation.publisherversionhttps://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=10886
dc.rightsCC BY
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectDiscontinuous differential equations
dc.subjectCarathéodory solutions
dc.subjectFilippov solutions
dc.subjectDifferential inclusions
dc.titleExistence and uniqueness of Carathéodory and Filippov solutions for discontinuous systems of differential equations
dc.typejournal article
dc.type.hasVersionVoR
dspace.entity.typePublication
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relation.isAuthorOfPublicationb86d9a4b-9b81-4e44-b7d3-fff2e4312401
relation.isAuthorOfPublication.latestForDiscoveryffa95aac-e70e-419b-a510-b14c2cc39940

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