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Blais, François Moussu, Robert Sanz Sánchez, Fernando 2024-06-21T17:32:29Z 2024-06-21T17:32:29Z 2007 Annales de l'Institut Fourier, 2007, Vol. 57, n. 6, p.1825-1838 0373-0956 https://uvadoc.uva.es/handle/10324/68188 10.5802/aif.2314 1825 6 1838 Annales de l’institut Fourier 57 1777-5310 Let \phi: x -> \phi (x), x > 0 be a solution of an algebraic differential equation of order n, P(x, y, y0, . . . , y(n)) = 0. We establish a geometric criterion so that the germs at infinity of \phi and the identity function on R belong to a common Hardy field. This criterion is based on the concept of non oscillation. application/pdf eng Centre Marsenne info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 Internacional Oscillation Corps de Hardy Semi-algébrique Pfaffien Solutions non oscillantes d’une équation différentielle et corps de Hardy info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion SI