Existence and multiplicity of solutions of Stieltjes differential equations via topological methods

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizaciónes_ES
dc.contributor.authorKrajščáková, Věra
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.date.accessioned2024-07-12T08:55:46Z
dc.date.available2024-07-12T08:55:46Z
dc.date.issued2024
dc.description.abstractIn this work, we use techniques from Stieltjes calculus and fixed point index theory to show the existence and multiplicity of solution of a first order non-linear boundary value problem with linear boundary conditions that extend the periodic case. We also provide the Green’s function associated to the problem as well as an example of application.es_ES
dc.description.peerreviewedSIes_ES
dc.description.sponsorshipThese contributions have greatly helped improve the manuscript. F. Adrián F. Tojo was partially supported by Grant PID2020-113275GB-I00 funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe” of the “European Union”. Věra Krajščáková was supported by Palacký University in Olomouc (grant no. IGA_PrF_2023_009)es_ES
dc.identifier.citationKrajščáková, V., Tojo, F.A.F. Existence and multiplicity of solutions of Stieltjes differential equations via topological methods. J. Fixed Point Theory Appl. 26, 9 (2024). https://doi.org/10.1007/s11784-024-01098-8es_ES
dc.identifier.doi10.1007/s11784-024-01098-8
dc.identifier.urihttp://hdl.handle.net/10347/34448
dc.language.isoenges_ES
dc.publisherSpringeres_ES
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/es_ES
dc.rights© The Author(s) 2024. Open Access This article is licensed under a Creative Commons Attribution 4.0 International Licensees_ES
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectStieltjes derivativees_ES
dc.subjectGreen's functionses_ES
dc.subjectDifferential equationses_ES
dc.subjectFixed point index theoryes_ES
dc.titleExistence and multiplicity of solutions of Stieltjes differential equations via topological methodses_ES
dc.typejournal articlees_ES
dspace.entity.typePublication
relation.isAuthorOfPublication7d79f16f-87c6-4898-b9eb-1fed52f1819a
relation.isAuthorOfPublication.latestForDiscovery7d79f16f-87c6-4898-b9eb-1fed52f1819a

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