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arXiv · 2408.12335

On parametric $0$-Gevrey asymptotic expansions in two levels for some linear partial $q$-difference-differential equations

Alberto Lastra·Stephane Malek
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Abstract

A novel asymptotic representation of the analytic solutions to a family of singularly perturbed $q-$difference-differential equations in the complex domain is obtained. Such asymptotic relation shows two different levels associated to the vanishing rate of the domains of the coefficients in the formal asymptotic expansion. On the way, a novel version of a multilevel sequential Ramis-Sibuya type theorem is achieved.

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Alberto Lastra, Stephane Malek. 2024-08-22. On parametric $0$-Gevrey asymptotic expansions in two levels for some linear partial $q$-difference-differential equations. https://arxiv.org/abs/2408.12335

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