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

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/12584

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.contributor	Universitat Politècnica de Catalunya. ACES - Control Avançat de Sistemes d'Energia
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Olm Miras, Josep Maria
dc.contributor.author	Ros Oton, Xavier
dc.contributor.author	Martínez-Seara Alonso, M. Teresa
dc.date	2011-09
dc.identifier.citation	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.
dc.identifier.citation	0022-247X
dc.identifier.citation	10.1016/j.jmaa.2011.02.084
dc.identifier.uri	http://hdl.handle.net/2117/12584
dc.language.iso	eng
dc.relation	http://www.sciencedirect.com/science/journal/0022247X
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
dc.subject	Equations, Abelian
dc.subject	Abel differential equations
dc.subject	Periodic solutions
dc.subject	Equacions
dc.subject	Classificació AMS::14 Algebraic geometry::14K Abelian varieties and schemes
dc.title	Periodic solutions with nonconstant sign in Abel equations of the second kind
dc.type	info:eu-repo/semantics/updatedVersion
dc.type	info:eu-repo/semantics/article
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 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.
dc.description.abstract	Peer Reviewed

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