On parametric multilevel \(q\)-Gevrey asymptotics for some linear \(q\)-difference-differential equations

DOI10.1186/s13662-015-0678-1zbMath1422.35008OpenAlexW2151206636WikidataQ59402825 ScholiaQ59402825MaRDI QIDQ1991035

Alberto Lastra Sedano, Stéphane Malek

Publication date: 29 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0678-1

zbMATH Keywords

Fourier transformsingular perturbationasymptotic expansionformal power seriesBorel-Laplace transform\(q\)-difference-differential equation

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Difference operators (39A70)

Related Items (5)

Solutions of linear systems of moment differential equations via generalized matrix exponentials ⋮ On sequences preserving \(q\)-Gevrey asymptotic expansions ⋮ On a partial \(q\)-analog of a singularly perturbed problem with Fuchsian and irregular time singularities ⋮ Solutions of a class of multiplicatively advanced differential equations. II: Fourier transforms ⋮ On the multiple-scale analysis for some linear partial \(q\)-difference and differential equations with holomorphic coefficients

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