THE ALGEBRAIC STRUCTURE OF THE FIRST INTEGRALS OF 3RD-ORDER LINEAR-EQUATIONS

被引：15

作者：

GOVINDER, KS

LEACH, PGL

机构：

[1] UNIV NATAL,CTR THEORET & COMPUTAT CHEM,JOHANNESBURG,SOUTH AFRICA

[2] UNIV WITWATERSRAND,CTR NONLINEAR STUDIES,JOHANNESBURG,SOUTH AFRICA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1995年 / 193卷 / 01期

关键词：

D O I：

10.1006/jmaa.1995.1225

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the Lie theory of extended groups to analyse the first integrals of scalar third-order linear ordinary differential equations. The analysis reveals three natural classes for which the equation has four, five, or seven symmetries. We show that each class has first integrals with a specific number of symmetries. Illustrative examples of each class are given. Comparison is made with the integrals of nonlinear equations. (C) 1995 Academic Press, Inc.

引用

页码：114 / 133

页数：20

共 9 条

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