On q-Gevrey Asymptotics for Singularly Perturbed q-Difference-Differential Problems with an Irregular Singularity
We study a q-analog of a singularly perturbed Cauchy problem with irregular singularity in the complex domain which generalizes a previous result by Malek in (2011). First, we construct solutions defined in open q-spirals to the origin. By means of a q-Gevrey version of Malgrange-Sibuya theorem we s...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/41357 |
| Acceso en línea: | http://hdl.handle.net/10017/41357 https://dx.doi.org/10.1155/2012/860716 |
| Access Level: | acceso abierto |
| Palabra clave: | q-Laplace transform Malgrange-Sibuya theorem q-Gevrey asymptotic expansion Formal power series Matemáticas Mathematics |
| Sumario: | We study a q-analog of a singularly perturbed Cauchy problem with irregular singularity in the complex domain which generalizes a previous result by Malek in (2011). First, we construct solutions defined in open q-spirals to the origin. By means of a q-Gevrey version of Malgrange-Sibuya theorem we show the existence of a formal power series in the perturbation parameterwhich turns out to be the q-Gevrey asymptotic expansion (of certain type) of the actual solutions. |
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