Linear Ordinary Differential Equations and Truncated Series

被引：13

作者：

Abramov, S. A. ^{[1
]}

Ryabenko, A. A. ^{[1
]}

Khmelnov, D. E. ^{[1
]}

机构：

[1] Russian Acad Sci, Dorodnitsyn Comp Ctr, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2019年 / 59卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

differential equations; power series; Laurent series; truncated series; computer algebra systems; POWER-SERIES;

D O I：

10.1134/S0965542519100026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Linear ordinary differential equations with the coefficients in the form of truncated formal power series are considered. It is discussed what can be learned from the equation given in this from about its solutions belonging to the field of Laurent formal series. We are interested in the information about these solutions that is invariant to possible prolongations of those truncated series that represent the coefficients of the equation.

引用

页码：1649 / 1659

页数：11

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