On linear differential equations and systems with reflection

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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.accessioned2026-01-07T08:47:22Z
dc.date.available2026-01-07T08:47:22Z
dc.date.issued2017-07-15
dc.description.abstractIn this paper, we develop a theory of linear differential systems analogous to the classical one for ODEs, including the obtaining of fundamental matrices, the development of a variation of parameters formula and the expression of the Green’s functions. We also derive interesting results in the case of differential equations with reflection and generalize the Hyperbolic Phasor Addition Formula to the case of matrices.
dc.description.peerreviewedSI
dc.description.sponsorshipPartially supported by Ministerio de Economía y Competitividad (Spain) and FEDER projects MTM2013-43014-P and MTM2016-75140-P and Xunta de Galicia (Spain), project EM2014/032.
dc.identifier.citationAlberto Cabada, F.Adrián F. Tojo, On linear differential equations and systems with reflection, Applied Mathematics and Computation, Volume 305, 2017, Pages 84-102, ISSN 0096-3003, https://doi.org/10.1016/j.amc.2017.01.039.
dc.identifier.doi10.1016/j.amc.2017.01.039
dc.identifier.essn1873-5649
dc.identifier.issn0096-3003
dc.identifier.urihttps://hdl.handle.net/10347/44901
dc.journal.titleApplied Mathematics and Computation
dc.language.isoeng
dc.page.final102
dc.page.initial84
dc.publisherElsevier
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2013-43014-P/ES/ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALES
dc.relation.publisherversionhttps://doi.org/10.1016/j.amc.2017.01.039
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectGreen’s functions
dc.subjectODEs
dc.subjectReflection
dc.subjectLinear systems
dc.subject.classification1202 Análisis y análisis funcional
dc.titleOn linear differential equations and systems with reflection
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number305
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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