On the Liouvillian solution of second-order linear differential equations and algebraic invariant curves

被引：0

作者：

Man, Yiu-Kwong ^{[1
]}

机构：

[1] Hong Kong Inst Educ, Dept Math & Informat Technol, Tai Po, Hong Kong, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 41期

关键词：

POLYNOMIAL VECTOR-FIELDS; INTEGRALS; ALGORITHM;

D O I：

10.1088/1751-8113/43/41/412001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this communication, we present a method for computing the Liouvillian solution of second-order linear differential equations via algebraic invariant curves. The main idea is to integrate Kovacic's results on second-order linear differential equations with the Prelle-Singer method for computing first integrals of differential equations. Some examples on using this approach are provided.

引用

页数：6

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