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On q-Gevrey Asymptotics for Singularly Perturbed q-Difference-Differential Problems with an Irregular Singularity

dc.contributor.authorLastra Sedano, Alberto 
dc.contributor.authorMalek, Stephane
dc.date.accessioned2020-03-03T19:12:54Z
dc.date.available2020-03-03T19:12:54Z
dc.date.issued2012-02-06
dc.identifier.bibliographicCitationLastra, A., Malek, S. 2012 "On q-Gevrey Asymptotics for Singularly Perturbed q-Difference-Differential Problems with an Irregular Singularity", Abstract and Applied Analysis, 2012, v. 2012, 860716
dc.identifier.issn1085-3375
dc.identifier.urihttp://hdl.handle.net/10017/41357
dc.description.abstractWe study a q-analog of a singularly perturbed Cauchy problem with irregular singularity in the complex domain which generalizes a previous result by Malek in (2011). First, we construct solutions defined in open q-spirals to the origin. By means of a q-Gevrey version of Malgrange-Sibuya theorem we show the existence of a formal power series in the perturbation parameterwhich turns out to be the q-Gevrey asymptotic expansion (of certain type) of the actual solutions.en
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherHindawi
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectq-Laplace transformen
dc.subjectMalgrange-Sibuya theoremen
dc.subjectq-Gevrey asymptotic expansionen
dc.subjectFormal power seriesen
dc.titleOn q-Gevrey Asymptotics for Singularly Perturbed q-Difference-Differential Problems with an Irregular Singularityen
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.updated2020-03-03T19:10:31Z
dc.relation.publisherversionhttps://doi.org/10.1155/2012/860716
dc.type.versioninfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1155/2012/860716
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000015621
dc.identifier.publicationtitleAbstract and Applied Analysisen
dc.identifier.publicationvolume2012


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