| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 451 4 |
| Ultima descărcare din IBN: 2023-09-20 18:37 |
| Căutarea după subiecte similare conform CZU |
| 517.91/.93 (1) |
| Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (242) |
 SM ISO690:2012YAHIAOUI, Mouna, RACHID, Boukoucha. Polynomial differential systems with explicit expression for limit cycles. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 3(91), pp. 65-74. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 3(91) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 517.91/.93 | ||||||
| MSC 2010: 34C05, 34C07, 37C27, 37K10. | ||||||
| Pag. 65-74 | ||||||
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| Rezumat | ||||||
In this paper we give an explicit expression of invariant algebraic curves of multi-parameter planar polynomial differential systems of degree nine, then we prove that these systems are integrable and we introduce an explicit expression of a first integral. Moreover, we determine sufficient conditions for these systems to possess two limit cycles: one of them is algebraic and the other one is shown to be non-algebraic, explicitly given. Concrete examples exhibiting the applicability of our result are introduced. |
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| Cuvinte-cheie limit cycle, Riccati equation, invariant algebraic curve, first integral |
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