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On multiscale Gevrey and q-Gevrey asymptotics for some linear q-difference-differential initial value Cauchy problems

dc.contributor.authorLastra Sedano, Alberto 
dc.contributor.authorMalek, Stephane
dc.date.accessioned2020-03-05T18:16:55Z
dc.date.available2020-03-05T18:16:55Z
dc.date.issued2017-06-12
dc.identifier.bibliographicCitationLastra, A. & Malek, S. 2017, “On multiscale Gevrey and q-Gevrey asymptotics for some linear q-difference differential initial value Cauchy problems”, Journal of Difference Equations and Applications, vol. 23, no. 8, pp. 1397-1457
dc.identifier.issn1023-6198
dc.identifier.urihttp://hdl.handle.net/10017/41440
dc.description.abstractWe study the asymptotic behavior of the solutions related to a singularly perturbed q-difference-differential problem in the complex domain. The analytic solution can be splitted according to the nature of the equation and its geometry so that both, Gevrey and q-Gevrey asymptotic phenomena are observed and can be distinguished, relating the analytic and the formal solution. The proof leans on a two level novel version of Ramis-Sibuya theorem under Gevrey and q-Gevrey orders.en
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherTaylor & Francis
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights© 2017 Taylor & Francis
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectAsymptotic expansionen
dc.subjectBorel-Laplace transformen
dc.subjectFourier transformen
dc.subjectCauchy problemen
dc.subjectFormal power seriesen
dc.subjectNonlinear integro-differential equationen
dc.subjectNonlinear partial differential equationen
dc.subjectSingular perturbationen
dc.titleOn multiscale Gevrey and q-Gevrey asymptotics for some linear q-difference-differential initial value Cauchy problemsen
dc.typeinfo:eu-repo/semantics/articleen
dc.subject.ecienciaMatemáticases_ES
dc.subject.ecienciaMathematicsen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.date.updated2020-03-05T18:13:02Z
dc.relation.publisherversionhttps://doi.org/10.1080/10236198.2017.1337104
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.identifier.doi10.1080/10236198.2017.1337104
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000029643
dc.identifier.publicationtitleJournal of Difference Equations and Applicationsen
dc.identifier.publicationvolume23
dc.identifier.publicationlastpage1457
dc.identifier.publicationissue8
dc.identifier.publicationfirstpage1397


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