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2020 On a Partial q-Analog of a Singularly Perturbed Problem with Fuchsian and Irregular Time Singularities
Stephane Malek
Abstr. Appl. Anal. 2020: 1-32 (2020). DOI: 10.1155/2020/7985298

Abstract

A family of linear singularly perturbed difference differential equations is examined. These equations stand for an analog of singularly perturbed PDEs with irregular and Fuchsian singularities in the complex domain recently investigated by A. Lastra and the author. A finite set of sectorial holomorphic solutions is constructed by means of an enhanced version of a classical multisummability procedure due to W. Balser. These functions share a common asymptotic expansion in the perturbation parameter, which is shown to carry a double scale structure, which pairs q-Gevrey and Gevrey bounds.

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Stephane Malek. "On a Partial q-Analog of a Singularly Perturbed Problem with Fuchsian and Irregular Time Singularities." Abstr. Appl. Anal. 2020 1 - 32, 2020. https://doi.org/10.1155/2020/7985298

Information

Received: 28 May 2019; Accepted: 19 October 2019; Published: 2020
First available in Project Euclid: 27 May 2020

zbMATH: 07176265
MathSciNet: MR4053150
Digital Object Identifier: 10.1155/2020/7985298

Rights: Copyright © 2020 Hindawi

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