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IMI/Publicaţii/BASM/Ediţii/BASM n.1 (53), 2007/

Multi-dimensional Darboux type differential systems with quadratic nonlinearities.

Authors: Diaconescu Oxana

Abstract

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(2, 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(2, ℜ)-integrals of the Darboux type differential system is found.

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