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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, Number 2, Pages 51–64
(Mi basm127)
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This article is cited in 3 scientific papers (total in 3 papers)
Lie algebras of the operators and three-dimensional polynomial differential systems
Natalia Gherstegaa, Mihail Popab a Department of Mathematics, State University of Tiraspol,
Chisinau, Moldova
b Institute of Mathematics and Computer Sciences, Academy of Sciences of Moldova, Chisinau, Moldova
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 $GL(3,\mathbb{R})$-integrals are constructed for three-dimensional affine differential system.
Keywords and phrases:
Differential system, defining equations, Lie algebra of the operators, integrating factor, orbit, invariant $GL(3,\mathbb{R})-$integral.
Received: 06.07.2005
Citation:
Natalia Gherstega, Mihail Popa, “Lie algebras of the operators and three-dimensional polynomial differential systems”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2005, no. 2, 51–64
Linking options:
https://www.mathnet.ru/eng/basm127 https://www.mathnet.ru/eng/basm/y2005/i2/p51
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Abstract page: | 391 | Full-text PDF : | 71 | References: | 51 | First page: | 1 |
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