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517.9+512.81+519.6 (1) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
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SM ISO690:2012 POPA, Mihail, PRICOP, Victor. On the upper bound of the number of functionally independent focal quantities of the Lyapunov differential system. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 2(90), pp. 99-112. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(90) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 517.9+512.81+519.6 | ||||||
MSC 2010: 34C07, 34C14, 34C20. | ||||||
Pag. 99-112 | ||||||
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Denote by N1 = 2 ℓ Pi=1 (mi + 1) + 2 the maximal possible number of non-zero coefficients of the Lyapunov differential system x˙ = y + ℓ Pi=1 Pmi (x, y), y˙ = −x + ℓ Pi=1 Qmi (x, y), where Pmi and Qmi are homogeneous polynomials of degree mi with respect to x and y, and 1 < m1 < m2 < ... < mℓ (ℓ < ∞). Then the upper bound of functionally independent focal quantities in the center and focus problem of considered system does not exceed N1 − 1. |
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Cuvinte-cheie Lyapunov differential systems, the center and focus problem, focal quantities, rotation group, Lie operators, comitants and invariants |
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