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

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 obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

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

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References (8)

Publisher
Springer Journals
Copyright
Copyright © 1999 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/A:1006117615250
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Oct 16, 2004

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