Rational limit cycles of Abel differential equations
| Autor: | José Luis Bravo, Luis Ángel Calderón, Ignacio Ojeda |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 47, Pp 1-13 (2023) |
| Druh dokumentu: | article |
| ISSN: | 1417-3875 96904186 |
| DOI: | 10.14232/ejqtde.2023.1.47 |
| Popis: | We study the number of rational limit cycles of the Abel equation $x'=A(t)x^3+B(t)x^2$, where $A(t)$ and $B(t)$ are real trigonometric polynomials. We show that this number is at most the degree of $A(t)$ plus one. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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