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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.
Mots-clés : Borne de Jacobi ordre d'un système différentiel méthode hongroise de Kuhn Jacobi's bound order of a differential system Kuhn's hungarian method
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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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