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IMI/Publicaţii/CSJM/Ediţii/CSJM v.16, n.1 (46), 2008/

An algebraic approach to a study of two-dimensional affine differential system

Authors: E.Naidenova
Keywords: Differential equation, Lie algebra, affine invariant, Aff(2, ℜ)-orbit.

Abstract

In a present paper a problem of classification of Aff(2, ℜ)-orbits' dimensions is considered on example of an autonomous two-dimensional affine differential system of first order. Methods of Lie algebras are used in the work, as well as methods of group analysis. Computer algebra systems "Bergman" and "Mathematica 5.0" are widely used.

Mathematics Subject Classification 2000: 34C14, 34C05, 58F14

E.Naidenova
Institute of Mathematics and Computer Science,
5 Academiei str.
Chişinău, MD-2028, Moldova.
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