dc.contributor.author | Lastra Sedano, Alberto | |
dc.contributor.author | Malek, Stephane | |
dc.date.accessioned | 2020-03-05T18:16:55Z | |
dc.date.available | 2020-03-05T18:16:55Z | |
dc.date.issued | 2017-06-12 | |
dc.identifier.bibliographicCitation | Lastra, 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.issn | 1023-6198 | |
dc.identifier.uri | http://hdl.handle.net/10017/41440 | |
dc.description.abstract | We 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.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Taylor & Francis | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
dc.rights | © 2017 Taylor & Francis | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject | Asymptotic expansion | en |
dc.subject | Borel-Laplace transform | en |
dc.subject | Fourier transform | en |
dc.subject | Cauchy problem | en |
dc.subject | Formal power series | en |
dc.subject | Nonlinear integro-differential equation | en |
dc.subject | Nonlinear partial differential equation | en |
dc.subject | Singular perturbation | en |
dc.title | On multiscale Gevrey and q-Gevrey asymptotics for some linear q-difference-differential initial value Cauchy problems | en |
dc.type | info:eu-repo/semantics/article | en |
dc.subject.eciencia | Matemáticas | es_ES |
dc.subject.eciencia | Mathematics | en |
dc.contributor.affiliation | Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas | es_ES |
dc.date.updated | 2020-03-05T18:13:02Z | |
dc.relation.publisherversion | https://doi.org/10.1080/10236198.2017.1337104 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.identifier.doi | 10.1080/10236198.2017.1337104 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.uxxi | AR/0000029643 | |
dc.identifier.publicationtitle | Journal of Difference Equations and Applications | en |
dc.identifier.publicationvolume | 23 | |
dc.identifier.publicationlastpage | 1457 | |
dc.identifier.publicationissue | 8 | |
dc.identifier.publicationfirstpage | 1397 | |