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 SM ISO690:2012SUBA, Alexandru. Solution of the center problem for cubic systems with a bundle of three invariant straight lines. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 1(41), pp. 91-101. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 1(41) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 91-101 | ||||||
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| Rezumat | ||||||
For cubic differential system with three invariant straight lines which pass through the same point it is proved that a singular point with purely imaginary eigenvalues (weak focus) is a center if and only if the focal values g2j 1, j = 1, 5, vanish. |
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| Cuvinte-cheie cubic systems of differential equations, invariant algebraic curves, integrability., center-focus prob- lem |
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