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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (48), 2005/

Lie algebras of the operators and three-dimensional polynomial differential systems.

Authors: Gherştega Natalia, Popa Mihail

Abstract

The defining equations are built for the representation of continuous groups in the space of variables and coefficients of multi-dimensional polynomial differential systems of the first order. Lie theorem on integrating factor is obtained for three-dimensional polynomial differential systems and the invariant GL(3, R)-integrals are constructed for three-dimensional affine differential system.

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