Published February 28, 2006 | Version v1
Journal article

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

  • 1. Institute for System Analysis , Russian Academy of Sciences, Moscow (Russian Federation)
  • 2. Independent University of Moscow, Moscow (Russian Federation)

Description

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

Availability note (English)

Available from http://dx.doi.org/10.1070/IM2006v170n01ABEH002307

Additional details

Publishing Information

Journal Title
Izvestiya. Mathematics
Journal Volume
70
Journal Issue
1
Journal Page Range
p. 153-169
ISSN
1064-5632

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40005063
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; HILBERT TRANSFORMATION; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; INTEGRAL TRANSFORMATIONS; MATHEMATICAL SOLUTIONS; TRANSFORMATIONS