Dans cet article on donne une démonstration d’un théorème de J. Écalle sur la multisommabilité des solutions formelles des équations différentielles méromorphes non-linéaires.
In this paper a proof is given of a theorem of J. Écalle that formal power series solutions of nonlinear meromorphic differential equations are multisummable.
@article{AIF_1992__42_3_517_0,
author = {Braaksma, Boele L. J.},
title = {Multisummability of formal power series solutions of nonlinear meromorphic differential equations},
journal = {Annales de l'Institut Fourier},
volume = {42},
year = {1992},
pages = {517-540},
doi = {10.5802/aif.1301},
mrnumber = {93j:34006},
zbl = {0759.34003},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1992__42_3_517_0}
}
Braaksma, Boele L. J. Multisummability of formal power series solutions of nonlinear meromorphic differential equations. Annales de l'Institut Fourier, Tome 42 (1992) pp. 517-540. doi : 10.5802/aif.1301. http://gdmltest.u-ga.fr/item/AIF_1992__42_3_517_0/
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