Asymptotics and confluence for some linear \(q\)-difference-differential Cauchy problem

DOI10.1007/s12220-021-00820-zzbMath1483.35313OpenAlexW3130022177WikidataQ115376721 ScholiaQ115376721MaRDI QIDQ2074735

Yanyan Li

Publication date: 10 February 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00820-z

zbMATH Keywords

asymptotic expansionpartial differential equationconfluence\(q\)-difference equationformal power series

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Partial functional-differential equations (35R10) Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (5)

Multisummability of formal solutions for a family of generalized singularly perturbed moment differential equations ⋮ Meromorphic solutions of linear \(q\)-difference equations ⋮ Small divisors effects in some singularly perturbed initial value problem with irregular singularity ⋮ On sequences preserving \(q\)-Gevrey asymptotic expansions ⋮ Solutions of a class of multiplicatively advanced differential equations. II: Fourier transforms

Cites Work

• On \(q\)-asymptotics for linear \(q\)-difference-differential equations with Fuchsian and irregular singularities
• Confluence of meromorphic solutions of \(q\)-difference equations
• On \(q\)-summation and confluence
• Basic theory of ordinary differential equations
• Systèmes aux \(q\)-différences singuliers réguliers : classification, matrice de connexion et monodromie. (Regular singular \(q\)-difference systems: Classification, connection matrix and monodromy)
• On a partial \(q\)-analog of a singularly perturbed problem with Fuchsian and irregular time singularities
• On multiscale Gevrey and Gevrey asymptotics for some linear difference differential initial value Cauchy problems

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