Asymptotic existence theorem for formal power series solutions of singularly perturbed linear \(q\)-difference equations

Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Difference equations in the complex domain (39A45)

Cites Work

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Composite asymptotic expansions
Monomial summability and doubly singular differential equations
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Basic theory of ordinary differential equations
Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions
About Jackson \(q\)-Bessel functions
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The Gevrey asymptotics in the case of singular perturbations
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Asymptotic existence theorems for formal power series whose coefficients satisfy certain partial differential recursions
Multisummability of formal solutions of singular perturbation problems
Singular perturbation of linear systems with a regular singularity
Formal power series and linear systems of meromorphic ordinary differential equations
On parametric multilevel \(q\)-Gevrey asymptotics for some linear \(q\)-difference-differential equations
On the multiple-scale analysis for some linear partial \(q\)-difference and differential equations with holomorphic coefficients
On a partial \(q\)-analog of a singularly perturbed problem with Fuchsian and irregular time singularities
q-analogue of summability of formal solutions of some linear q-difference-differential equations
Parametric Borel summability for some semilinear system of partial differential equations
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Gevrey solutions of singularly perturbed differential equations
On the Summability of Formal Solutions of Some Linear <i>q</i>-Difference-Differential Equations
The Gevrey asymptotics in the initial value problem for singularly perturbed nonlinear differential equations

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