On complex singularity analysis for linear \(q\)-difference-differential equations

DOI10.1007/s10883-008-9055-7zbMath1203.35011OpenAlexW2029379038MaRDI QIDQ619248

Stéphane Malek

Publication date: 22 January 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-008-9055-7

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Difference equations, scaling ((q)-differences) (39A13) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (4)

On complex singularity analysis for linear partial \(q\)-difference-differential equations using nonlinear differential equations ⋮ On \(q\)-Gevrey asymptotics for singularly perturbed \(q\)-difference-differential problems with an irregular singularity ⋮ On \(q\)-asymptotics for linear \(q\)-difference-differential equations with Fuchsian and irregular singularities ⋮ On singularly perturbed \(q\)-difference-differential equations with irregular singularity

Cites Work

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• On \(q\)- difference functional equations
• About the growth of entire functions solutions of linear algebraic \(q\)- difference equations
• On functional linear partial differential equations in Gevrey spaces of holomorphic functions
• On the formation of singularities of solutions of nonlinear differential systems in anti-Stokes directions.

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