Linearisable third-order ordinary differential equations and generalised Sundman transformations:: The case X′"=0

被引：58

作者：

Euler, N ^{[1
]}

Wolf, T

Leach, PGL

Euler, M

机构：

[1] Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden

[2] Brock Univ, Dept Math, St Catharines, ON L2S 3A1, Canada

[3] Univ Natal, Sch Math & Stat Sci, ZA-4041 Durban, South Africa

来源：

ACTA APPLICANDAE MATHEMATICAE | 2003年 / 76卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

nonlinear ordinary differential equations; linearisation; invertible transformations;

D O I：

10.1023/A:1022838932176

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We calculate in detail the conditions which allow the most general third-order ordinary differential equation to be linearised in X'''(T) = 0 under the transformation X(T) = F(x, t), dT = G(x, t) dt.

引用

页码：89 / 115

页数：27

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