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 SM ISO690:2012GHERŞTEGA, Natalia, POPA, Mihail. Lie algebras of the operators and three-dimensional polynomial differential systems. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, nr. 2(48), pp. 51-64. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(48) / 2005 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 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 threedimensional polynomial differential systems and the invariant GL(3, R)−integrals are constructed for three-dimensional affine differential system. |
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| Cuvinte-cheie differential system, defining equations, Lie algebra of the operators, integrating factor, orbit |
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