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Periodic solutions with nonconstant sign in Abel equations of the second kind

dc.contributor.authorMartínez-Seara Alonso, M. Teresa
dc.contributor.authorRos Oton, Xavier
dc.contributor.authorOlm Miras, Josep Maria
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.date.accessioned2011-02-28T12:26:34Z
dc.date.available2011-02-28T12:26:34Z
dc.date.issued2011-02
dc.identifier.urihttp://hdl.handle.net/2117/11572
dc.description.abstractThe 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.extent8 p.
dc.language.isoeng
dc.relation.ispartofseries[prepr201101OlmROMS]
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshDifferential equations
dc.subject.otherAbel differential equations
dc.subject.otherperiodic solutions
dc.titlePeriodic solutions with nonconstant sign in Abel equations of the second kind
dc.typeExternal research report
dc.subject.lemacEquacions diferencials
dc.contributor.groupUniversitat Politècnica de Catalunya. ACES - Control Avançat de Sistemes d'Energia
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.relation.publisherversionhttp://www.ma1.upc.edu/recerca/preprints/2011/prepr201101seara.pdf
dc.rights.accessOpen Access
local.identifier.drac5255694
dc.description.versionPreprint
local.personalitzacitaciotrue


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