Gevrey Order and Summability of Formal Series Solutions of some Classes of Inhomogeneous Linear Partial Differential Equations with Variable Coefficients

被引：0

作者：

Pascal Remy

机构：

[1] Lycée Les Pierres Vives,

来源：

Journal of Dynamical and Control Systems | 2016年 / 22卷

关键词：

Linear partial differential equation; Divergent power series; Gevrey order; Summability; 35C10; 35C20; 40B05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate Gevrey order and summability properties of formal power series solutions of some classes of inhomogeneous linear partial differential equations with variable coefficients and analytic initial conditions. In particular, we give necessary and sufficient conditions under which these solutions are convergent or are k-summable, for a convenient k, in a given direction.

引用

页码：693 / 711

页数：18

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