An algebraic approach to a study of two-dimensional affine differential system
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NAIDENOVA, Elena. An algebraic approach to a study of two-dimensional affine differential system. In: Computer Science Journal of Moldova, 2008, nr. 1(46), pp. 50-63. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 1(46) / 2008 / ISSN 1561-4042 /ISSNe 2587-4330

An algebraic approach to a study of two-dimensional affine differential system
CZU: 004.421:[517.9+512.81]

Pag. 50-63

Naidenova Elena
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 10 decembrie 2013


Rezumat

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.

Cuvinte-cheie
Differential equation, affine invariant, Aff(2, R)-orbit,

Lie algebra