Degree theory for discontinuous operators
| dc.contributor.affiliation | Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización | |
| dc.contributor.author | Figueroa Sestelo, Rubén | |
| dc.contributor.author | López Pouso, Rodrigo | |
| dc.contributor.author | Rodríguez López, Jorge | |
| dc.date.accessioned | 2025-12-30T07:30:07Z | |
| dc.date.available | 2025-12-30T07:30:07Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We introduce a new definition of topological degree for a meaningful class of operators which need not be continuous. Subsequently, we derive a number of fixed point theorems for such operators. As an application, we deduce a new existence result for first–order ODEs with discontinuous nonlinearities. | |
| dc.description.peerreviewed | SI | |
| dc.description.sponsorship | Rodrigo Lopez Pouso was partially supported by Ministerio de Economıa y Competitividad, Spain, and FEDER, Project MTM2016-75140-P, and Xunta de Galicia ED341D R2016/022 and GRC2015/004. Jorge Rodriguez-Lopez was financially supported by Xunta de Galicia under grant ED481A-2017/178. | |
| dc.identifier.citation | Figueroa, R., López, R., Rodríguz-López, J. (2021). Degree theory for discontinuous operators. Fixed Point Theory, 22(1), 141-156 | |
| dc.identifier.essn | 2066-9208 | |
| dc.identifier.issn | 10.24193/fpt-ro.2021.1.10 | |
| dc.identifier.uri | https://hdl.handle.net/10347/44824 | |
| dc.journal.title | Fixed Point Theory | |
| dc.language.iso | eng | |
| dc.publisher | House of the Book of Science Cluj-Napoca | |
| dc.relation.publisherversion | http://doi.org/10.24193/fpt-ro.2021.1.10 | |
| dc.rights.accessRights | open access | |
| dc.subject | Degree theory | |
| dc.subject | Leray-Schauder degree | |
| dc.subject | Discontinuous differential equations | |
| dc.title | Degree theory for discontinuous operators | |
| dc.type | journal article | |
| dc.type.hasVersion | VoR | |
| dspace.entity.type | Publication | |
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| relation.isAuthorOfPublication.latestForDiscovery | 9da1ecb4-9282-44de-b980-06419df2860f |
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