Work

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

Year: 2025

Type: article

Abstract: A novel asymptotic representation of the analytic solutions to a family of singularly perturbed $$q-$$ 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.

Source: Analysis and Mathematical Physics

DOI: 10.1007/s13324-025-01074-6

Authors: Alberto Lastra, Stéphane Malek

Institutions: Universidad de Alcalá, Université de Lille, Laboratoire Paul Painlevé

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290