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La borne de Jacobi pour une diffiété définie par un système quasi régulier

François Ollivier 1 Brahim Sadik
1 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Centrale Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : We show that Jacobi's bound for the order of a system of ordinary differential equations stands in the case of a diffiety defined by a quasi-regular system. We extend the result when there are less equations than variables and characterize the case when the bound is reached.
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https://hal.inria.fr/inria-00128148
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Submitted on : Wednesday, January 31, 2007 - 7:54:43 AM
Last modification on : Friday, February 4, 2022 - 3:19:37 AM
Long-term archiving on: : Tuesday, April 6, 2010 - 9:31:36 PM

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François Ollivier, Brahim Sadik. La borne de Jacobi pour une diffiété définie par un système quasi régulier. 2006. ⟨inria-00128148⟩

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