Stieltjes differential systems with nonmonotonic derivators

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorFrigon, Marlène
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.date.accessioned2020-04-27T11:06:43Z
dc.date.available2020-04-27T11:06:43Z
dc.date.issued2020
dc.description.abstractIn this work we study Stieltjes differential systems of which the derivators are allowed to change sign. This leads to the definition of the notion of a function of controlled variation, a characterization of precompact sets of g-continuous functions, and an explicit expression of g-exponential maps. Finally, we prove a Peano-type existence result and apply it to a model of fluid stratification on buoyant miscible jets and plumes.gl
dc.description.peerreviewedSIgl
dc.description.sponsorshipMarlène Frigon was partially supported by NSERC Canada. F. Adrián F. Tojo was partially supported by Ministerio de Economía y Competitividad, Spain, and FEDER, project MTM2013-43014-P, and by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDERgl
dc.identifier.citationFrigon, M., Tojo, F.A.F. Stieltjes differential systems with nonmonotonic derivators. Bound Value Probl 2020, 41 (2020). https://doi.org/10.1186/s13661-020-01345-0gl
dc.identifier.doi10.1186/s13661-020-01345-0
dc.identifier.essn1687-2770
dc.identifier.urihttp://hdl.handle.net/10347/21786
dc.language.isoenggl
dc.publisherSpringergl
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2013-43014-P/ES/RETOS EN LA GESTION DE LA PLANTA INVASORA CARPOBROTUS EDULIS: CAMBIOS FENOTIPICOS EN EL CURSO DE LA INVASION, RESPUESTAS A ESCENARIOS DE CAMBIO GLOBAL Y CONTROL BIOLOGICO
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES
dc.relation.publisherversionhttps://doi.org/10.1186/s13661-020-01345-0gl
dc.rights© The Author(s) 2020. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/gl
dc.rights.accessRightsopen accessgl
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectStieltjes derivativesgl
dc.subjectDifferential systemsgl
dc.subjectFundamental Theorem of Calculusgl
dc.subjectAscoli–Arzelà Theoremgl
dc.subjectFluid stratificationgl
dc.titleStieltjes differential systems with nonmonotonic derivatorsgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery7d79f16f-87c6-4898-b9eb-1fed52f1819a

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