On \(q\)-Gevrey asymptotics for singularly perturbed \(q\)-difference-differential problems with an irregular singularity

DOI10.1155/2012/860716zbMath1239.34104arXiv1106.0401OpenAlexW1982723609WikidataQ58696970 ScholiaQ58696970MaRDI QIDQ410244

Stéphane Malek, Alberto Lastra Sedano

Publication date: 3 April 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0401

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

Related Items (12)

On the summability of a class of formal power series ⋮ q-Analogues of Laplace and Borel transforms by means of q-exponentials ⋮ On \(q\)-advanced spherical Bessel functions of the first kind and perturbations of the Haar wavelet ⋮ On sequences preserving \(q\)-Gevrey asymptotic expansions ⋮ Smooth wavelet approximations of truncated Legendre polynomials via the Jacobi theta function ⋮ On parametric multilevel \(q\)-Gevrey asymptotics for some linear \(q\)-difference-differential equations ⋮ On singularly perturbed small step size difference-differential nonlinear PDEs ⋮ Solutions of a class of multiplicatively advanced differential equations ⋮ On a partial \(q\)-analog of a singularly perturbed problem with Fuchsian and irregular time singularities ⋮ On parametric Gevrey asymptotics for singularly perturbed partial differential equations with delays ⋮ 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

Cites Work

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• On the summability of formal solutions for doubly singular nonlinear partial differential equations
• On singularly perturbed \(q\)-difference-differential equations with irregular singularity
• On complex singularity analysis for linear \(q\)-difference-differential equations
• Monomial summability and doubly singular differential equations
• On \(q\)-summation and confluence
• Surjectivity of the restriction map to a compact in classes of ultradifferentiable functions
• Division by flat ultradifferentiable functions and sectorial extensions
• On functional linear partial differential equations in Gevrey spaces of holomorphic functions
• Extension operators in Carleman ultraholomorphic classes
• Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions
• LINEAR CONTINUOUS EXTENSION OPERATORS FOR GEVREY CLASSES ON POLYSECTORS
• Transformations de q-Borel–Laplace au moyen de la fonction thêta de Jacobi
• On q-asymptotics for q-difference-differential equations with Fuchsian and irregular singularities
• Power Series Methods and Multisummability
• Local analytic classification of q-difference equations

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