Flag systems and ordinary differential equations

We discuss the Monge problem in the theory of ordinary differential equations and prove the Cartan criterion for first order Monge systems with the added hypothesis of homogeneity. Next, we examine Hilbert's counter-example and finally give a brief account on the two special cases involving fla...

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Bibliographic Details
Published in:Annali di matematica pura ed applicata 1999-12, Vol.177 (1), Article 315
Main Author: Kumpera, A.
Format: Article
Language:English
Subjects:
Differential equations
Flags
Mathematical analysis
Ordinary differential equations
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Summary:We discuss the Monge problem in the theory of ordinary differential equations and prove the Cartan criterion for first order Monge systems with the added hypothesis of homogeneity. Next, we examine Hilbert's counter-example and finally give a brief account on the two special cases involving flag systems of length two and three.
ISSN:0373-3114
1618-1891
DOI:10.1007/BF02505915