# American Institute of Mathematical Sciences

2011, 2011(Special): 784-793. doi: 10.3934/proc.2011.2011.784

## Singularities in the geometric theory of differential equations

 1 Institut für Mathematik, Universität Kassel, 34132 Kassel, Germany, Germany

Received  July 2010 Revised  January 2011 Published  October 2011

We briefly recall the basic ideas of the Vessiot theory, a geometric approach to di fferential equations based on vector fields. Then we show that it allows to extend naturally some results on singularities for ordinary diff erential equations to maximally overdetermined partial diff erential equations.
Citation: Ulrike Kant, Werner M. Seiler. Singularities in the geometric theory of differential equations. Conference Publications, 2011, 2011 (Special) : 784-793. doi: 10.3934/proc.2011.2011.784
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