Lower and Upper Solutions for System of Differential Equations Involving Homeomorphism and Nonlinear Boundary Conditions
| dc.contributor.affiliation | Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización | es_ES |
| dc.contributor.author | Rodríguez López, Jorge | |
| dc.contributor.author | Szymańska Dȩbowska, Katarzyna | |
| dc.contributor.author | Zima, Miroslawa | |
| dc.date.accessioned | 2024-10-01T06:40:53Z | |
| dc.date.available | 2024-10-01T06:40:53Z | |
| dc.date.issued | 2024-06-14 | |
| dc.description.abstract | We study the existence of solution to the system of differential equations (φ(u)) = f(t, u, u) with nonlinear boundary conditionsg(u(0), u, u)=0, h(u(1), u, u)=0, where f : [0, 1]×Rn ×Rn → Rn, g, h : Rn ×C([0, 1], Rn)×C([0, 1], Rn) →Rn are continuous, φ : ni=1(−ai, ai) → Rn, 0 < ai ≤ +∞, φ(s) =(φ1(s1),...,φn(sn)) and φi : (−ai, ai) → R is a one dimensional regular or singular homeomorphism. Our proofs are based on the concept of the lower and upper solutions | es_ES |
| dc.description.peerreviewed | SI | es_ES |
| dc.description.sponsorship | M. Zima was partially supported by the Centre for Innovation and Transfer of Natural Science and Engineering Knowledge of University of Rzeszów. J. Rodríguez-López was partially supported by Agencia Estatal de Investigación, Spain, Project PID2020-113275GBI00, and Xunta de Galicia, Spain, Project ED431C 2023/12 | es_ES |
| dc.identifier.citation | Results Math 79, 181 (2024) | es_ES |
| dc.identifier.doi | 10.1007/s00025-024-02213-4 | |
| dc.identifier.essn | 1420-9012 | |
| dc.identifier.issn | 1422-6383 | |
| dc.identifier.uri | http://hdl.handle.net/10347/34969 | |
| dc.issue.number | 5 | |
| dc.journal.title | Results in Mathematics | |
| dc.language.iso | eng | es_ES |
| dc.publisher | Springer | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113275GBI00 | es_ES |
| dc.relation.publisherversion | https://doi.org/10.1007/s00025-024-02213-4 | es_ES |
| dc.rights | Atribución 4.0 Internacional | |
| dc.rights | © 2024 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License | es_ES |
| dc.rights.accessRights | open access | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Nonlinear boundary value problem | es_ES |
| dc.subject | Nonlinear boundary conditions | es_ES |
| dc.subject | Homeomorphism | es_ES |
| dc.subject | Lower solution | es_ES |
| dc.subject | Upper solution | es_ES |
| dc.subject | Schauder fixed point theorem | es_ES |
| dc.title | Lower and Upper Solutions for System of Differential Equations Involving Homeomorphism and Nonlinear Boundary Conditions | es_ES |
| dc.type | journal article | es_ES |
| dc.type.hasVersion | VoR | es_ES |
| dc.volume.number | 79 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | b86d9a4b-9b81-4e44-b7d3-fff2e4312401 | |
| relation.isAuthorOfPublication.latestForDiscovery | b86d9a4b-9b81-4e44-b7d3-fff2e4312401 |
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