On parametric 0-Gevrey asymptotic expansions in two levels for some linear partial q-difference-differential equations
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...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/68253 |
| Acceso en línea: | http://hdl.handle.net/10017/68253 https://dx.doi.org/10.1007/s13324-025-01074-6 |
| Access Level: | acceso abierto |
| Palabra clave: | q− Gevrey asymptotic expansions Singularly perturbed Formal power series Matemáticas Mathematics |
| Sumario: | 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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