On q-Gevrey Asymptotics for Singularly Perturbed q-Difference-Differential Problems with an Irregular Singularity
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/41357DOI: 10.1155/2012/860716
ISSN: 1085-3375
Publisher
Hindawi
Date
2012-02-06Bibliographic citation
Lastra, 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
Keywords
q-Laplace transform
Malgrange-Sibuya theorem
q-Gevrey asymptotic expansion
Formal power series
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/publishedVersion
Publisher's version
https://doi.org/10.1155/2012/860716Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Access rights
info:eu-repo/semantics/openAccess
Abstract
We 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.
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On_q_Gevrey_AAA_2012.pdf | 2.024Mb |
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On_q_Gevrey_AAA_2012.pdf | 2.024Mb |
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