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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