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dc.contributor.author | Cano Torres, José María | |
dc.contributor.author | Sendra Pons, Juan Rafael | |
dc.contributor.author | Falkensteiner, Sebastian | |
dc.date.accessioned | 2024-01-23T13:16:06Z | |
dc.date.available | 2024-01-23T13:16:06Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Journal of Symbolic Computation, Volume 108, 2022, Pages 137-151, | es |
dc.identifier.issn | 0747-7171 | es |
dc.identifier.uri | https://uvadoc.uva.es/handle/10324/64902 | |
dc.description | Producción Científica | es |
dc.description.abstract | Given an autonomous first order algebraic ordinary differential equation , we prove that every formal Puiseux series solution of , expanded around any finite point or at infinity, is convergent. The proof is constructive and we provide an algorithm to describe all such Puiseux series solutions. Moreover, we show that for any point in the complex plane there exists a solution of the differential equation which defines an analytic curve passing through this point. | es |
dc.format.mimetype | application/pdf | es |
dc.language.iso | spa | es |
dc.publisher | Springer | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.subject.classification | Algebraic differential equation Algebraic curve Place Formal Puiseux series solution Convergent solution | es |
dc.title | Existence and convergence of Puiseux series solutions for autonomous first order differential equations | es |
dc.type | info:eu-repo/semantics/article | es |
dc.identifier.doi | 10.1016/j.jsc.2020.06.010 | es |
dc.relation.publisherversion | https://doi.org/10.1016/j.jsc.2020.06.010 | es |
dc.identifier.publicationfirstpage | 137 | es |
dc.identifier.publicationlastpage | 151 | es |
dc.identifier.publicationtitle | Journal of Symbolic Computation | es |
dc.identifier.publicationvolume | 108 | es |
dc.peerreviewed | SI | es |
dc.description.project | FEDER/Ministerio de Ciencia, Innovación y Universidades Agencia Estatal de Investigación MTM2016-77642-C2-1-P | es |
dc.description.project | FEDER/Ministerio de Ciencia, Innovación y Universidades Agencia Estatal de Investigación/MTM2017-88796-P | es |
dc.description.project | Austrian Science Fund (FWF): P 31327-N32 | es |
dc.description.project | Comunidad de Madrid and Universidad de Alcalá under grant CM/JIN/2019-010 | es |
dc.type.hasVersion | info:eu-repo/semantics/acceptedVersion | es |