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 SM ISO690:2012DIACONESCU, Oxana. Multi-dimensional Darboux type differential systems with quadratic nonlinearities. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, nr. 1(53), pp. 95-100. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 1(53) / 2007 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 95-100 | ||||||
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In the article the n-dimensional autonomous Darboux type differential
systems with nonlinearities of the 2nd degree are considered. With the aid of theorem
on integrating factor the particular invariant GL(n, R)-integrals are constructed as
well as the first integrals of Darboux type for considered systems. These integrals
represent the algebraic curves of the 1st degree. The recurrence formula of particular
invariant GL(n, R)-integrals of the Darboux type differential system is found. |
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| Cuvinte-cheie The Darboux type differential system, invariant GL(n, R)-integrating factor, invariant GL(nR)-integral., comitant |
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