ON SINGULARLY PERTURBED q-DIFFERENCE-DIFFERENTIAL EQUATIONS WITH IRREGULAR SINGULARITY

被引：10

作者：

Malek, S. ^{[1
]}

机构：

[1] Univ Lille 1, UFR Math, F-59655 Villeneuve Dascq, France

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2011年 / 17卷 / 02期

关键词：

q-Laplace transform; Whitney C(infinity) functions; formal power series; Poincare asymptotic expansions;

D O I：

10.1007/s10883-011-9118-z

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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：29

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