On singularly perturbed q-difference-differential equations with irregular singularity

被引：0

作者：

S. Malek

机构：

[1] Université de Lille 1,

[2] UFR de mathématiques,undefined

来源：

Journal of Dynamical and Control Systems | 2011年 / 17卷

关键词：

-Laplace transform; Whitney ; functions; formal power series; Poincaré asymptotic expansions; 35C10; 35C20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a q-analog of a singularly perturbed Cauchy problem with irregular singularity in the complex domain. We construct solutions of this problem that are holomorphic on open half-q-spirals. Using a version of a q-analog of the Malgrange–Sibuya theorem obtained by J.-P. Ramis, J. Sauloy, and C. Zhang, we show the existence of a formal power-series solution in the perturbation parameter which is the q-asymptotic expansion of these holomorphic solutions.

引用

页码：243 / 271

页数：28

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Zhang C(undefined)undefined undefined undefined undefined-undefined

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Malek S(undefined)undefined undefined undefined undefined-undefined

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