dc.contributor.author | Lastra Sedano, Alberto | |
dc.contributor.author | Sanz, Javier | |
dc.contributor.author | Malek, Stephane | |
dc.date.accessioned | 2020-03-06T13:49:36Z | |
dc.date.available | 2020-03-06T13:49:36Z | |
dc.date.issued | 2012-05-15 | |
dc.identifier.bibliographicCitation | Lastra, A., Malek, S. & Sanz, J. 2012, “On q-asymptotics for linear q-difference-differential equations with Fuchsian and irregular singularities”, Journal of Differential Equations, vol. 252, no. 10, pp. 5185-5216 | |
dc.identifier.issn | 0022-0396 | |
dc.identifier.uri | http://hdl.handle.net/10017/41470 | |
dc.description.abstract | We consider a Cauchy problem for some family of linear q-difference-differential equations with Fuchsian and irregular singularities, that admit a unique formal power series solution in two variables X (t, z) for given formal power series initial conditions. Under suitable conditions and by the application of certain q-Borel and Laplace transforms (introduced by J.-P. Ramis and C. Zhang), we are able to deal with the small divisors phenomenon caused by the Fuchsian singularity, and to construct actual holomorphic solutions of the Cauchy problem whose q-asymptotic expansion in t, uniformly for z in the compact sets of , is X (t, z) . The small divisorsʼ effect is an increase in the order of q-exponential growth and the appearance of a power of the factorial in the corresponding q-Gevrey bounds in the asymptotics. | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Elsevier | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
dc.rights | © 2012 Elsevier | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | q-Difference-differential equations | en |
dc.subject | q-Laplace transform | en |
dc.subject | Formal power series solutions | en |
dc.subject | q-Gevrey asymptotic expansions | en |
dc.subject | Small divisors | en |
dc.subject | Fuchsian and irregular singularities | en |
dc.title | On q-asymptotics for linear q-difference-differential equations with Fuchsian and irregular singularities | 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 | 2020-03-06T13:45:24Z | |
dc.relation.publisherversion | https://doi.org/10.1016/j.jde.2012.01.038 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.identifier.doi | 10.1016/j.jde.2012.01.038 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.uxxi | AR/0000015622 | |
dc.identifier.publicationtitle | Journal of Differential Equations | en |
dc.identifier.publicationvolume | 252 | |
dc.identifier.publicationlastpage | 5216 | |
dc.identifier.publicationissue | 10 | |
dc.identifier.publicationfirstpage | 5185 | |