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517.9+517.925 (2) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
SM ISO690:2012 COZMA, Dumitru, MATEI, Angela. Center conditions for a cubic differential system with two invariant straight lines and one invariant elliptic curve. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2017, nr. 2(4), pp. 60-69. ISSN 2537-6284. |
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Acta et commentationes (Ştiinţe Exacte și ale Naturii) | ||||||
Numărul 2(4) / 2017 / ISSN 2537-6284 /ISSNe 2587-3644 | ||||||
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CZU: 517.9+517.925 | ||||||
Pag. 60-69 | ||||||
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For a cubic differential system with a singular point of a center or a focus type having two invariant straight lines one invariant elliptic cubic curve it was proved that a singular point is a center if and only if the first two Lyapunov quantities at this point vanish. There were obtained five sets of conditions for a singular point to be a center. |
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Cuvinte-cheie Cubic differential system, invariant algebraic curves, the problem of the center. |
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