Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations

被引：31
|
作者：
Nakpim, Warisa [1 ]
Meleshko, Sergey V. [1 ]
机构：
[1] Suranaree Univ Technol, Inst Sci, Sch Math, Nakhon Ratchasima 30000, Thailand
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2010年 / 6卷
关键词：
linearization problem; generalized Sundman transformations; nonlinear second-order ordinary differential equations;
D O I：
10.3842/SIGMA.2010.051
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The linearization problem of a second-order ordinary differential equation by the generalized Sundman transformation was considered earlier by Duarte, Moreira and Santos using the Laguerre form. The results obtained in the present paper demonstrate that their solution of the linearization problem for a second-order ordinary differential equation via the generalized Sundman transformation is not complete. We also give examples which show that the Laguerre form is not sufficient for the linearization problem via the generalized Sundman transformation.
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页数：11
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