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510.2+517.9 (1) |
Основания математики (5) |
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (241) |
SM ISO690:2012 PRICOP, Victor, PORT, Sergiu. The common Hilbert series for some differential systems with homogeneous nonlinearities of odd degree. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2018, nr. 2(6), pp. 60-69. ISSN 2537-6284. |
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Acta et commentationes (Ştiinţe Exacte și ale Naturii) | |||||
Numărul 2(6) / 2018 / ISSN 2537-6284 /ISSNe 2587-3644 | |||||
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CZU: 510.2+517.9 | |||||
MSC 2010: 34G20, 34C05 | |||||
Pag. 60-69 | |||||
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The Hilbert series for Sibirsky graded algebras of differential systems still now were examined using a generalized Sylvester method. These series have a special importance for some problems of qualitative theory of differential systems. For example, a problem related to the Hilbert series of differential systems is to determine relationships between them. Before finding some relations between Hilbert series, generalized or ordinary, it is necessary to build these Hilbert series. The article proposes the construction of Hilbert series of Sibirsky graded algebras using the residue method. |
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Cuvinte-cheie Hilbert series, Sibirsky graded algebras, differential systems., Serii Hilbert, algebre graduate Sibirschi, sisteme diferențiale. |
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