Multisummability of formal power series solutions of nonlinear meromorphic differential equations
Annales de l'Institut Fourier, Tome 42 (1992) no. 3, p. 517-540
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},
     publisher = {Imprimerie Durand},
     address = {28 - Luisant},
     volume = {42},
     number = {3},
     year = {1992},
     pages = {517-540},
     doi = {10.5802/aif.1301},
     zbl = {0759.34003},
     mrnumber = {93j:34006},
     language = {en},
     url = {http://www.numdam.org/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) no. 3, pp. 517-540. doi : 10.5802/aif.1301. http://www.numdam.org/item/AIF_1992__42_3_517_0/

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