| Títol: | Periodic solutions with nonconstant sign in Abel equations of the second kind |
| Autor: | Olm Miras, Josep Maria
Ros Otón, Xavier
Martínez-Seara Alonso, M. Teresa |
| Altres autors/autores: | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
| Matèries: | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
Equations, Abelian
Abel differential equations
Periodic solutions
Equacions
Classificació AMS::14 Algebraic geometry::14K Abelian varieties and schemes |
| Tipus de document: | Article |
| Descripció: | The study of periodic solutions with constant sign in the Abel equation of the second kind can be made through the equation of the first kind. This is because the situation is equivalent under the transformation xmaps tox−1, and there are many results available in the literature for the first kind equation. However, the equivalence breaks down when one seeks for solutions with nonconstant sign. This note is devoted to periodic solutions with nonconstant sign in Abel equations of the second kind. Specifically, we obtain sufficient conditions to ensure the existence of a periodic solution that shares the zeros of the leading coefficient of the Abel equation. Uniqueness and stability features of such solutions are also studied. |
| Altres identificadors i accés: | J.M. Olm; Ros, X.; Martínez-Seara, M. Periodic solutions with nonconstant sign in Abel equations of the second kind. "Journal of mathematical analysis and applications", Setembre 2011, vol. 381, núm. 2, p. 582-589.
0022-247X
http://hdl.handle.net/2117/12584
10.1016/j.jmaa.2011.02.084 |
| Disponible al dipòsit: | E-prints UPC
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