Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Hilbert's series for comitants graded algebras of differential equations. (English)
Authors: Braicov A. V., Macari P. M., Popa Mihail, Port S. A.
Abstract
It is shown that the linear space of center-affine comitants of a given type is isomorphic to the linear space of unimodular comitants of the same type of a differential system of equations. Generalized and common Hilbert's series for graded algebras of differential system comitants are established.Institutul de Matematică Academia de Ştiinţe a Moldovei
str. Academiei 5, Chişinău, MD-2028 Moldova
str. Academiei 5, Chişinău, MD-2028 Moldova
Contents
- Konstantin Sergeevich Sibirsky (1928 - 1990). A tribute in honor of his 70th birthday.
- Hilbert's series for comitants graded algebras of differential equations. (English)
- Smooth linearization near a three-dimensional saddle. (English)
- Recurrent functions and recurrent solutions of differential equations. (Russian)
- Lyapunov functions for cocycle attractors in nonautonomous difference equations. (English)
- Attractors for stochastic differential equations with nontrivial noise. (English)
- On the law of transformation of affine connection and its integration. Part 1. Generalization of the Lame equations. (English)
- Types of the critical points for quadratic system with a center of symmetry. (English)
- The differential operators and multiplicity of singular points for polynomial differential system. (English)
- Poisson stability of mappings with respect to a semigroup. (English)
- On partial recurrent solutions of completely integrable systems. (English)
- Coefficient conditions for the repartition of multiplicity between 2 real double infinite singular points of cubic differential system. (English)
- $L_p$-theory of generalized solutions of model boundary value problems for parabolic equations. (English)
- Local phase portraits of two-dimensional analytical systems principal parts of which do not contain parameters. (English)
