Contact transformations and local reducibility of ODE to the form y'''=0

被引：7

作者：

Gusyatnikova, VN ^{[1
]}

Yumaguzhin, VA ^{[1
]}

机构：

[1] Program Syst Inst, Pereslavl Zalessky 152140, Russia

来源：

ACTA APPLICANDAE MATHEMATICAE | 1999年 / 56卷 / 2-3期

关键词：

ordinary differential equations; jet bundles; contact transformations; equivalence problem; linearizability;

D O I：

10.1023/A:1006117615250

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Orbits of the ODE y'''=0 in corresponding jet bundles are investigated. Explicit relations for the right-hand side of an arbitrary 3-order ODE necessary and sufficient for the existence of a contact transformation reducing this equation locally to the form y'''=0 are obtained.

引用

页码：155 / 179

页数：25

共 6 条

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GRISSOM, C ;

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[4]

GUSYATNIKOVA VN, 1991, MAT ZAMETKI, V49, P146

[5]

Krasilshchik I. S., 1986, Geometry of Jet Spaces and Nonlinear Partial Differential Equations

[6]

KURANISHI M, 1967, LECT INVOLUTIVE SYST

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