On the geometry of y(4) = f (x, y, y′, y", y′" )

被引：5

作者：

Dridi, Raouf ^{[1
]}

Neut, Sylvain ^{[1
]}

机构：

[1] Univ Lille 1, LIFL, F-59655 Villeneuve Dascq, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 02期

关键词：

Cartan's method; contact transformations; differential algebra;

D O I：

10.1016/j.jmaa.2005.11.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we use Cartan's method to study the equivalence problem of fourth order ordinary differential equation with the flat model under contact transformations. As a result, we obtain simple explicit conditions for fourth order differential equation to be equivalent to the flat model under the considered group of transformations. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1311 / 1317

页数：7

共 9 条

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[7] The geometry of the equation y′′′=f (x, y, y′, y′′)
Neut, S
Petitot, M
[J]. COMPTES RENDUS MATHEMATIQUE, 2002, 335 (06) : 515 - 518
[8] NEUT S, 2003, EHESIS USTL LILLE 1
[9] OLVER PJ, 1995, GRAD TEXTS MATH

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