Geodesic
Lie algebras of the operators and three-dimensional polynomial differential systems
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2005), pp. 51-64

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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 $GL(3,\mathbb{R})$-integrals are constructed for three-dimensional affine differential system. 
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     title = {Lie algebras of the operators and three-dimensional polynomial differential systems},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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Natalia Gherstega; Mihail Popa. Lie algebras of the operators and three-dimensional polynomial differential systems. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2005), pp. 51-64. http://geodesic.mathdoc.fr/item/BASM_2005_2_a2/