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 SM ISO690:2012POPA, Mihail, PRICOP, Victor. The upper and lower bounds for number of conditions for center of the differential system s(1; 2; :::; q). In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 265-268. ISBN 978-9975-68-244-2. |
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| Conference of Mathematical Society of the Republic of Moldova 3, 2014 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 19-23 august 2014 | ||||||
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| Pag. 265-268 | ||||||
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We examine the system of differential equations that contains all nonlinearities of degree from 1 to q, denoted by s(1; 2; :::; q). For this system the estimation of upper bound for the number of algebraically independent focal quantities, which take part in solving the center and focus problem for mentioned system, is known. It was made a comparison between this estimation and estimation of lower bound for number of essential conditions for center that was obtained by acad. C. S. Sibirschi for the system of differential equations s(1; 2; :::; q). |
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| Cuvinte-cheie system of differential equations, essential conditions for center, Sibirschi graded algebras, the center and focus problem, Krull dimension |
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