Green’s Functions for Reducible Functional Differential Equations

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Análise Matemática
dc.contributor.authorCabada Fernández, Alberto
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.date.accessioned2026-01-27T08:47:45Z
dc.date.available2026-01-27T08:47:45Z
dc.date.issued2017-07
dc.description.abstractIn this work, we study differential problems in which the reflection operator and the Hilbert transform are involved. We reduce these problems to ODEs in order to solve them. Also, we describe a general method for obtaining the Green’s function of reducible functional differential equations and illustrate it with the case of homogeneous boundary value problems with reflection and several specific examples.
dc.description.peerreviewedSI
dc.description.sponsorshipAlberto Cabada research was partially supported by FEDER and Ministerio de Educación y Ciencia, Spain, project MTM2010-15314. F. Adrián F. Tojo research was supported by FPU scholarship, Ministerio de Educación, Cultura y Deporte, Spain
dc.identifier.citationCabada, A., Tojo, F.A.F. Green’s Functions for Reducible Functional Differential Equations. Bull. Malays. Math. Sci. Soc. 40, 1071–1092 (2017). https://doi.org/10.1007/s40840-016-0355-x
dc.identifier.doi10.1007/s40840-016-0355-x
dc.identifier.essn2180-4206
dc.identifier.issn0126-6705
dc.identifier.urihttps://hdl.handle.net/10347/45449
dc.issue.number3
dc.journal.titleBulletin of the Malaysian Mathematical Sciences Society
dc.language.isoeng
dc.page.final1092
dc.page.initial1071
dc.publisherSpringer
dc.relation.publisherversionhttps://doi.org/10.1007/s40840-016-0355-x
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectEquations with involutions
dc.subjectEquations with reflection
dc.subjectGreen’s functions
dc.subjectHilbert transform
dc.subjectReducible functional differential equations
dc.subjectAlgebraic analysis
dc.subject.classification1202 Análisis y análisis funcional
dc.titleGreen’s Functions for Reducible Functional Differential Equations
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number40
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication7d79f16f-87c6-4898-b9eb-1fed52f1819a
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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