Hybrid localization for nonlinear systems: lower/upper solution and Krasnosel’skii fixed point theorem techniques

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorRodríguez López, Jorge
dc.date.accessioned2024-11-11T07:56:49Z
dc.date.available2024-11-11T07:56:49Z
dc.date.issued2024
dc.descriptionThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00605-024-02026-1
dc.description.abstractWe present a novel localization of the solutions of a system of two differential equations. It combines, in a component-wise manner, the method of lower and upper solutions with the localization provided by compression–expansion type fixed point theorems in cones. The main result is based on a recent fixed point theorem for operator systems.
dc.description.peerreviewedSI
dc.description.sponsorshipResearch partially supported by Ministerio de Ciencia y Tecnología (Spain), AEI and Feder, grant PID2020-113275GB-I00, and Xunta de Galicia, Spain, Project ED431C 2023/12.
dc.identifier.citationRodríguez–López, J. Hybrid localization for nonlinear systems: lower/upper solution and Krasnosel’skiĭ fixed point theorem techniques. Monatsh Math (2024). https://doi.org/10.1007/s00605-024-02026-1
dc.identifier.doi10.1007/s00605-024-02026-1
dc.identifier.essn1436-5081
dc.identifier.urihttps://hdl.handle.net/10347/37659
dc.journal.titleMonatshefte für Mathematik
dc.language.isoeng
dc.publisherSpringer
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://doi.org/10.1007/s00605-024-02026-1
dc.rights.accessRightsrestricted access
dc.subjectNonlinear systems
dc.subjectComponent-wise location
dc.subjectLower and upper solution
dc.subjectKrasnosel’skiĭ fixed point theorem
dc.subjectSchauder fixed point theorem
dc.subject.classification12 Matemáticas
dc.titleHybrid localization for nonlinear systems: lower/upper solution and Krasnosel’skii fixed point theorem techniques
dc.typejournal article
dc.type.hasVersionAM
dspace.entity.typePublication
relation.isAuthorOfPublicationb86d9a4b-9b81-4e44-b7d3-fff2e4312401
relation.isAuthorOfPublication.latestForDiscoveryb86d9a4b-9b81-4e44-b7d3-fff2e4312401

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