The center problem and composition condition for Abel differential equations
The classical Poincaré center-focus problem for planar polynomial systems of ordinary differential equations can be transformed, in certain particular cases, to the center problem of a trigonometric Abel differential equation. Several research papers focused on the study of the center problem for tr...
| Autores: | ; ; |
|---|---|
| Tipo de documento: | Artigo |
| Estado: | Accepted version |
| Data de publicação: | 2015 |
| País: | España |
| Recursos: | Universitat de Lleida (UdL) |
| Repositório: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/56682 |
| Acesso em linha: | https://doi.org/10.1016/j.exmath.2015.12.002 http://hdl.handle.net/10459.1/56682 |
| Nível de acesso: | Acesso aberto |
| Palavra-chave: | Abel equations Center problem Composition condition Moment conditions Composition conjecture Equacions abelianes |
| Resumo: | The classical Poincaré center-focus problem for planar polynomial systems of ordinary differential equations can be transformed, in certain particular cases, to the center problem of a trigonometric Abel differential equation. Several research papers focused on the study of the center problem for trigonometric Abel differential equations. Polynomial Abel differential equations are also considered in the literature as a model problem. In this work we make a survey of the most important results in this context and we provide the state of the art of several related conjectures. We give two new results on these conjectures. |
|---|