On the convergence of generalized power series satisfying an algebraic ODE

被引：7

作者：

Gontsov, R. R. ^{[1
]}

Goryuchkina, I. V. ^{[2
]}

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow, Russia

[2] Russian Acad Sci, MV Keldysh Appl Math Inst, Moscow, Russia

来源：

ASYMPTOTIC ANALYSIS | 2015年 / 93卷 / 04期

关键词：

algebraic ODE; formal solution; generalized power series; majorant method; convergent series; MEROMORPHIC DIFFERENTIAL-EQUATIONS; MULTISUMMABILITY;

D O I：

10.3233/ASY-151297

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here we propose a sufficient condition of the convergence of a generalized power series formally satisfying an algebraic (polynomial) ordinary differential equation. The proof is based on the majorant method.

引用

页码：311 / 325

页数：15

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