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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, Number 1, Pages 95–100
(Mi basm54)
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This article is cited in 1 scientific paper (total in 1 paper)
Multi-dimensional Darboux type differential systems with quadratic nonlinearities
O. V. Diaconescu Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Moldova
Abstract:
In the article the $n$-dimensional autonomous Darboux type differential systems with nonlinearities of the $2^{nd}$ degree are considered. With the aid of theorem on integrating factor the particular invariant $GL(n, \mathbb R)$-integrals are constructed as well as the first integrals of Darboux type for considered systems. These integrals represent the algebraic curves of the $1^{st}$ degree. The recurrence formula of particular
invariant $GL(n,\mathbb R)$-integrals of the Darboux type differential system is found.
Keywords and phrases:
The Darboux type differential system, comitant, invariant $GL(n,\mathbb R)$-integrating factor, invariant $GL(n,\mathbb R)$-integral.
Received: 15.03.2007
Citation:
O. V. Diaconescu, “Multi-dimensional Darboux type differential systems with quadratic nonlinearities”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, no. 1, 95–100
Linking options:
https://www.mathnet.ru/eng/basm54 https://www.mathnet.ru/eng/basm/y2007/i1/p95
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Abstract page: | 181 | Full-text PDF : | 46 | References: | 38 | First page: | 2 |
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