The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients

被引：1

作者：

Khovanskii, A. G. ^{[1
]}

Chulkov, S. P.

机构：

[1] RAS, Inst Syst Anal, Moscow, Russia

[2] Moscow Independent Univ, Moscow, Russia

来源：

IZVESTIYA MATHEMATICS | 2006年 / 70卷 / 01期

关键词：

D O I：

10.1070/IM2006v170n01ABEH002307

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：153 / 169

页数：17

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