Geodesic
The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients
Izvestiya. Mathematics, Tome 70 (2006) no. 1, pp. 153-169 
A. G. Khovanskii; S. P. Chulkov. The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients. Izvestiya. Mathematics, Tome 70 (2006) no. 1, pp. 153-169. http://geodesic.mathdoc.fr/item/IM2_2006_70_1_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider systems of linear partial differential equations with analytic coefficients and discuss existence and uniqueness theorems for their formal and analytic solutions. Using elementary methods, we define and describe an analogue of the Hilbert polynomial for such systems.

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