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This article is cited in 3 scientific papers (total in 3 papers)
The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients
A. G. Khovanskiia, S. P. Chulkovb a Institute of Systems Analysis, Russian Academy of Sciences
b Independent University of Moscow
Abstract:
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.
Received: 08.09.2003
Citation:
A. G. Khovanskii, S. P. Chulkov, “The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients”, Izv. Math., 70:1 (2006), 153–169
Linking options:
https://www.mathnet.ru/eng/im553https://doi.org/10.1070/IM2006v170n01ABEH002307 https://www.mathnet.ru/eng/im/v70/i1/p163
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