Instituto de Investigación
en Matemáticas

No se ha especificado ningún tipo
No se ha especificado ningún tipo

On singularly perturbed q‐difference‐differential problems with an irregular singularity

Alberto Lastra Sedano (Univ. Alcalá de Henares)

Fecha: 04/04/2012 11:00
Lugar: Seminario de Análisis Matemático y Didáctica de la Matemática
Grupo: GIR Análisis Funcional Aplicado

A q‐analog of a singularly perturbed Cauchy problem with irregular singularity in the complex domain is studied. Our result generalizes a previous result by S. Malek in [1]. First, we construct solutions defined in open q‐spirals to the origin. Afterwards, we obtain the existence of a formal power series in the perturbation parameter which represents the solution and is the q‐Gevrey asymptotic expansion of the actual solutions. This is achieved by means of a q‐Gevrey version of Malgrange‐Sibuya theorem. (Joint work with Stéphane Malek.) [1] S. Malek, Singularly perturbed q‐difference‐differential equations with irregular singularity, J. Dynam. Control. Syst. 17 (2011),no.2.