| dc.contributor.author | Martínez-Seara Alonso, M. Teresa |
| dc.contributor.author | Ros Oton, Xavier |
| dc.contributor.author | Olm Miras, Josep Maria |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
| dc.date.accessioned | 2011-02-28T12:26:34Z |
| dc.date.available | 2011-02-28T12:26:34Z |
| dc.date.issued | 2011-02 |
| dc.identifier.uri | http://hdl.handle.net/2117/11572 |
| dc.description.abstract | 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 |
| dc.format.extent | 8 p. |
| dc.language.iso | eng |
| dc.relation.ispartofseries | [prepr201101OlmROMS] |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.lcsh | Differential equations |
| dc.subject.other | Abel differential equations |
| dc.subject.other | periodic solutions |
| dc.title | Periodic solutions with nonconstant sign in Abel equations of the second kind |
| dc.type | External research report |
| dc.subject.lemac | Equacions diferencials |
| dc.contributor.group | Universitat Politècnica de Catalunya. ACES - Control Avançat de Sistemes d'Energia |
| dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
| dc.relation.publisherversion | http://www.ma1.upc.edu/recerca/preprints/2011/prepr201101seara.pdf |
| dc.rights.access | Open Access |
| local.identifier.drac | 5255694 |
| dc.description.version | Preprint |
| local.personalitzacitacio | true |
