Contact Transformations and Local Reducibility of ODE to the Form y'''=0

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 ob...

Full description

Saved in:
Bibliographic Details
Published in:Acta applicandae mathematicae 1999-05, Vol.56 (2-3), p.155
Main Authors: Gusyatnikova, V N, Yumaguzhin, V A
Format: Article
Language:English
Subjects:
Mathematical analysis
Orbits
Ordinary differential equations
Studies
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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. [PUBLICATION ABSTRACT]
ISSN:0167-8019
1572-9036
DOI:10.1023/a:1006117615250