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| Articolul urmator |
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 826 3 |
| Ultima descărcare din IBN: 2023-09-23 11:35 |
| Căutarea după subiecte similare conform CZU |
| 517.9 (248) |
| Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (246) |
 SM ISO690:2012SUBA, Alexandru, TURUTA (PODERIOGHIN), Silvia. The problem of the center for cubic differential systems with the line at infinity and an affine real invariant straight line of total algebraic multiplicity five. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 2(90), pp. 13-40. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 2(90) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||||
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| CZU: 517.9 | ||||||||
| MSC 2010: 34C05. | ||||||||
| Pag. 13-40 | ||||||||
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| Rezumat | ||||||||
In this article, we study the real planar cubic differential systems with a non-degenerate monodromic critical point M0. In the cases when the algebraic multiplicity m(Z) = 5 or m(l1) + m(Z) ≥ 5, where Z = 0 is the line at infinity and l1 = 0 is an affine real invariant straight line, we prove that the critical point M0 is of the center type if and only if the first Lyapunov quantity vanishes. More over, if m(Z) = 5 (respectively, m(l1) +m(Z) ≥ 5, m(l1) ≥ j, j = 2, 3) then M0 is a center if the cubic systems have a polynomial first integral (respectively, an integrating factor of the form 1/lj 1). |
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| Cuvinte-cheie Cubic differential system, center problem, invariant straight line, algebraic multiplicity |
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<meta name="citation_title" content="The problem of the center for cubic differential systems with the line at infinity and an affine real invariant straight line of total algebraic multiplicity five"> <meta name="citation_author" content="Suba Alexandru"> <meta name="citation_author" content="Turuta (Poderioghin) Silvia"> <meta name="citation_publication_date" content="2019/12/27"> <meta name="citation_journal_title" content="Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica"> <meta name="citation_volume" content="90"> <meta name="citation_issue" content="2"> <meta name="citation_firstpage" content="13"> <meta name="citation_lastpage" content="40"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/13-40.pdf">
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