Formal solutions of singularly-perturbed linear differential systems

被引：1

作者：

Barkatou, Moulay A. ^{[1
]}

Maddah, Suzy S. ^{[2
]}

机构：

[1] Univ Limoges, XLIM UMR 7252, CNRS 123, Ave Albert Thomas, F-87060 Limoges, France

[2] INRIA Saclay Ile De France, Batiment Alan Turing,1 Rue Honore Estienne Orves, F-91120 Palaiseau, France

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2019年 / 94卷

关键词：

Singularly-perturbed linear differential systems; Turning points; Rank reduction; Singularities; Exponential part; Formal solutions; Computer algebra; ALGORITHM;

D O I：

10.1016/j.jsc.2018.08.003

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this article, we discuss formal invariants of singularly-perturbed linear differential systems in neighborhood of turning points and give algorithms which allow their computation. The algorithms proposed are implemented in the computer algebra system MAPLE. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：183 / 209

页数：27

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