RT info:eu-repo/semantics/article
T1 Solutions non oscillantes d’une équation différentielle et corps de Hardy
A1 Blais, François
A1 Moussu, Robert
A1 Sanz, Fernando
K1 oscillation, corps de Hardy, semi-algébrique, pfaffien
AB Let \phi: x -> \phi (x), x > 0 be a solution of an algebraic differentialequation of order n, P(x, y, y0, . . . , y(n)) = 0. We establish a geometric criterion sothat the germs at infinity of \phi and the identity function on R belong to a commonHardy field. This criterion is based on the concept of non oscillation.
PB Centre Marsenne
SN 0373-0956
YR 2007
FD 2007
LK https://uvadoc.uva.es/handle/10324/68188
UL https://uvadoc.uva.es/handle/10324/68188
LA eng
NO Ann. I. Fourier, Vol 57 (6), 1825-1838
DS UVaDOC
RD 22-nov-2024