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Multi-flag systems and ordinary differential equations

Published online by Cambridge University Press:  22 January 2016

A. Kumpera  and
J. L. Rubin
A. Kumpera
Affiliation:
Universidade Federal do Pará, kumpera@ufpa.br
J. L. Rubin
Affiliation:
Institut du Non-Linéaire de Nice, rubin@inln.cnrs.fr
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Abstract

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We discuss the Monge problem for under-determined systems of ordinary differential equations with an arbitrary degree of freedom and give a sufficient condition, in terms of truncated multi-flag systems, for the Monge property to hold. This condition extends in a natural way the Cartan criterion valid for systems with one degree of freedom.

Keywords

34C2058A1558A1758A30
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 166 , June 2002 , pp. 1 - 27
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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