Geodesic
Multi-dimensional Darboux type differential systems with quadratic nonlinearities
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2007), pp. 95-100.

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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. 
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O. V. Diaconescu. Multi-dimensional Darboux type differential systems with quadratic nonlinearities. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2007), pp. 95-100. http://geodesic.mathdoc.fr/item/BASM_2007_1_a8/

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