The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients
Askold Georgievich Khovanskii, Сергей Павлович Чулков · Izvestiya Mathematics · 2006
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.