Differential Puiseux theorem in generalized series fields of finite rank
| hal.structure.identifier | Équipe Géométrie | |
| dc.contributor.author | MATUSINSKI, Mickael | |
| dc.date.accessioned | 2024-04-04T02:19:44Z | |
| dc.date.available | 2024-04-04T02:19:44Z | |
| dc.date.created | 2010-06-09 | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 0240-2963 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189431 | |
| dc.description.abstractEn | We study differential equations $F(y,...,y^{(n)})=0$ where $F(Y_0,...,Y_n)$ is a formal series in $Y_0,...,Y_n$ with coefficients in some field of \emph{generalized power series} $\mathds{K}_r$ with finite rank $r\in\mathbb{N}^*$. Our purpose is to understand the connection between the set of exponents of the coefficients of the equation $\textrm{Supp} F$ and the set $\textrm{Supp} y_0$ of exponents of the elements $y_0\in\mathds{K}_r$ that are solutions. | |
| dc.language.iso | en | |
| dc.publisher | Université Paul Sabatier _ Cellule Mathdoc | |
| dc.title.en | Differential Puiseux theorem in generalized series fields of finite rank | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.5802/afst.1293 | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.identifier.arxiv | 0902.1758 | |
| bordeaux.journal | Annales de la Faculté des Sciences de Toulouse. Mathématiques | |
| bordeaux.page | 247-293 | |
| bordeaux.volume | 20 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00946800 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00946800v1 | |
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