| Títol: | Periodic solutions with nonconstant sign in Abel equations of the second kind |
| Autor: | Martínez-Seara Alonso, M. Teresa
Ros Otón, Xavier
Olm Miras, Josep Maria |
| 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
Differential equations
Abel differential equations
periodic solutions
Equacions diferencials |
| Tipus de document: | External research report |
| 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 x 7¡æ x.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: | http://hdl.handle.net/2117/11572 |
| Disponible al dipòsit: | E-prints UPC
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