On the connection between Stieltjes differential equations and ordinary differential equations

Simple item page
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.date.accessioned2026-03-11T12:18:28Z
dc.date.available2026-03-11T12:18:28Z
dc.date.issued2025-06-01
dc.date.updated2025-12-12T09:03:36Z
dc.description.abstractIn this work, we establish a link between Stieltjes differential equations and ordinary differential equations, allowing for the transformation of one into the other. As applications, we prove Binding's theorem for the equation xg′=f∘x, as well as a topological result used in the theory of differential equations.en
dc.description.peerreviewedSI
dc.description.sponsorshipThe author was partially supported by “ERDF A way of making Europe” of the “European Union”; and by Xunta de Galicia, Spain, project ED431C 2023/12 and grant PID2020-113275 GB-I00 funded by MCIN/AEI/10.13039/501100011033, Spain.
dc.identifier.citationTojo, F. A. F. (2025). On the connection between Stieltjes differential equations and ordinary differential equations. Journal of Mathematical Analysis and Applications, 546(1). https://doi.org/10.1016/J.JMAA.2025.129248
dc.identifier.doi10.1016/J.JMAA.2025.129248
dc.identifier.eissn1096-0813
dc.identifier.essn1096-0813
dc.identifier.issn0022-247X
dc.identifier.urihttps://hdl.handle.net/10347/46321
dc.issue.number1
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.publisherElsevier
dc.relation.projectIDnfo: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://doi.org/10.1016/j.jmaa.2025.129248
dc.rights© 2025 The Author. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceJournal of Mathematical Analysis and Applications
dc.subjectExistence
dc.subjectSobolev spaces
dc.subjectStieltjes derivative
dc.subjectStieltjes differential equations
dc.titleOn the connection between Stieltjes differential equations and ordinary differential equationsen
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number546
dspace.entity.typePublication
relation.isAuthorOfPublication7d79f16f-87c6-4898-b9eb-1fed52f1819a
relation.isAuthorOfPublication.latestForDiscovery7d79f16f-87c6-4898-b9eb-1fed52f1819a

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
2025_jmaa_tojo_on-the-conection.pdf
Size:
863.48 KB
Format:
Adobe Portable Document Format
Download

Collections

Estatística, Análise Matemática e Optimización
Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)