Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Invariant conditions for the dimensions of the GL(2,R)-orbits for one differential cubic system. (English)
Authors: E.V. Starus
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Abstract
A two-dimensional system of two autonomous polynomial equations with homogeneities of the zero and third orders is considered concerning to the group of center-affine transformations GL(2,R). The problem of the classification of GL(2,R)-orbit's dimensions is solved completely for the given system with the help of Lie algebra of operators corresponding to the GL(2,R) group, and algebra of invariants and comitants for the indicated system is built. The theorem on invariant division of all coefficient's set of the considered system to nonintersecting GL(2,R)-invariant sets is obtained.Institute of Mathematics and Computer Science
str. Academiei 5, Kishinev,
MD-2028, Moldova
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str. Academiei 5, Kishinev,
MD-2028, Moldova
E-mail:
Fulltext
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Contents
- Bieberbach-Auslander Theorem and Dinamics in Symmetric Spaces. (English)
- On some Hypergroups and their Hyperlattice Structures. (English)
- The commutative Moufang loops with minimum conditions for subloops I. (English)
- Weak convergence of the distributions of Marcovian random evolutions in two and three dimensions. (English)
- On a nonlinear differential subordination I. (English)
- Invariant conditions for the dimensions of the GL(2,R)-orbits for one differential cubic system. (English)
- X-normal mappings. (English)
- Approximate solution of the Dirichlet problem in a circle. (English)
- On Riemann extension of the Schwarzschild metric. (English)
- On regularization of singular operators with Carleman shift. (English)
- The document class for "Buletinul Academiei de Stiinte a Republicii Moldova. Matematica". (English)
