dc.contributor.author
Giné, Jaume
dc.contributor.author
Grau Montaña, Maite
dc.contributor.author
Santallusia Esvert, Xavier
dc.date.accessioned
2024-12-05T21:24:09Z
dc.date.available
2024-12-05T21:24:09Z
dc.date.issued
2016-03-07T09:23:20Z
dc.date.issued
2018-05-31T22:18:49Z
dc.date.issued
2016-02-03T13:15:27Z
dc.identifier
https://doi.org/10.1016/j.exmath.2015.12.002
dc.identifier
http://hdl.handle.net/10459.1/56682
dc.identifier.uri
http://hdl.handle.net/10459.1/56682
dc.description.abstract
The classical Poincaré center-focus problem for planar polynomial systems of ordinary differential equations can be transformed, in certain particular cases, to the center problem of a trigonometric Abel differential equation. Several research papers focused on the study of the center problem for trigonometric Abel differential equations. Polynomial Abel differential equations are also considered in the literature as a model problem. In this work we make a survey of the most important results in this context and we provide the state of the art of several related conjectures. We give two new results on these conjectures.
dc.description.abstract
The authors are partially supported by a MINECO/FEDER grant number MTM2014-53703-P and by an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204
dc.format
application/pdf
dc.relation
info:eu-repo/grantAgreement/MINECO//MTM2014-53703-P/ES/METODOS CUALITATIVOS EN SISTEMAS DIFERENCIALES CONTINUOS/
dc.relation
Versió postprint del document publicat a https://doi.org/10.1016/j.exmath.2015.12.002
dc.relation
Expositiones Mathematicae, 2016, vol. 34, núm. 2, p. 210-222
dc.rights
cc-by-nc-nd (c) Elsevier, 2015
dc.rights
info:eu-repo/semantics/openAccess
dc.rights
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca
dc.subject
Abel equations
dc.subject
Center problem
dc.subject
Composition condition
dc.subject
Moment conditions
dc.subject
Composition conjecture
dc.subject
Equacions abelianes
dc.title
The center problem and composition condition for Abel differential equations
