On implicit second-order ordinary differential equations: Completely integrable and Clairaut type

被引：4
|
作者：
Takahashi, M. [1 ]
机构：
[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2007年 / 13卷 / 02期
基金：
日本学术振兴会;
关键词：
implicit second-order ordinary differential equation; completely integrable; Clairaut-type equation; Engel-Legendre transformation;
D O I：
10.1007/s10883-007-9013-9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we give a characterization of implicit second-order ordinary differential equations with smooth complete integrals which we call Clairaut-type equations. Moreover, we consider properties of the Clairaut-type equations and present the duality among special completely integrable equations with respect to Engel-Legendre transformations.
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页码：273 / 288
页数：16
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