Authors: Diaconescu Oxana
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(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 1
st degree. The recurrence formula of particular invariant GL(2, ℜ)-integrals of the Darboux type differential system is found.
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