Conţinutul numărului revistei |
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Articolul urmator |
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SM ISO690:2012 DASCALESCU, Anatolii. Integrability conditions for a cubic differential system with two invariant straight lines and one invariant cubic. In: Annals of the University of Craiova, Mathematics and Computer Science Series, 2018, nr. 2(45), pp. 312-322. ISSN 1223-6934. |
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Annals of the University of Craiova, Mathematics and Computer Science Series | ||||||
Numărul 2(45) / 2018 / ISSN 1223-6934 | ||||||
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Pag. 312-322 | ||||||
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Rezumat | ||||||
We find conditions for a singular point O(0; 0) of a center or a focus type to be a center, in a cubic differential system with two invariant straight lines and one invariant cubic. The presence of a center at O(0; 0) is proved by constructing Darboux first integrals. |
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Cuvinte-cheie Cubic differential system, Darboux integrability, invariant algebraic curves, The problem of the center |
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