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SM ISO690:2012 NEAGU, Natalia. Invariant integrability conditions for ternary differential systems with quadratic nonlinearities. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, nr. 3(82), pp. 57-71. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(82) / 2016 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 517.911/958+519.213.84 | ||||||
MSC 2010: 34C20, 34C45 | ||||||
Pag. 57-71 | ||||||
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Rezumat | ||||||
The general integral for ternary differential system with quadratic nonlinearities of the Darboux form was constructed by using the Lie theorem on integrating factor. The case is achieved when the comitant of the linear part of differential system, which is a GL(3, R)-invariant particular integral, describes an invariant variety. |
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Cuvinte-cheie Center-affine group, ternary Darboux differential system, general integral, comitant, Lie algebra, integrating factor |
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