Borel summability of divergent solutions for singularly perturbed first-order ordinary differential equations

被引：2

作者：

Hibino, Masaki

机构：

[1] Japan Society for the Promotion of Science, Department of Mathematics, Meijo University, Tempaku, Naooya Aichi 468-8502, Shiogamaouchi

来源：

TOHOKU MATHEMATICAL JOURNAL | 2006年 / 58卷 / 02期

关键词：

singular perturbation; divergent solution; Borel summability; analytic continuation;

D O I：

10.2748/tmj/1156256403

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the study of the Borel summability of divergent solutions for singularly perturbed inhomogeneous first-order linear ordinary differential equations which have a regularity at the origin. In order to assure the Borel summability of divergent solutions, global analytic continuation properties for coefficients are required despite the fact that the domain of the Borel sum is local.

引用

页码：237 / 258

页数：22

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