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dc.contributor.authorKiss, G.
dc.contributor.authorLessard, J.-P.
dc.date.accessioned2017-02-21T08:19:28Z
dc.date.available2017-02-21T08:19:28Z
dc.date.issued2012-12-31
dc.identifier.issn0022-0396
dc.identifier.urihttp://hdl.handle.net/20.500.11824/613
dc.description.abstractWe introduce a general computational fixed-point method to prove existence of periodic solutions of differential delay equations with multiple time lags. The idea of such a method is to compute numerical approximations of periodic solutions using Newton's method applied on a finite dimensional projection, to derive a set of analytic estimates to bound the truncation error term and finally to use this explicit information to verify computationally the hypotheses of a contraction mapping theorem in a given Banach space. The fixed point so obtained gives us the desired periodic solution. We provide two applications. The first one is a proof of coexistence of three periodic solutions for a given delay equation with two time lags, and the second one provides rigorous computations of several nontrivial periodic solutions for a delay equation with three time lags.
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dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleComputational fixed-point theory for differential delay equations with multiple time lagsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.jde.2011.11.020
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84455208065&doi=10.1016%2fj.jde.2011.11.020&partnerID=40&md5=8a5cc9aa1400923efeb061dce55812c1
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleJournal of Differential Equationsen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España