Multisummability of formal power series solutions of nonlinear meromorphic differential equations
Annales de l'Institut Fourier, Tome 42 (1992) no. 3, pp. 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.

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     title = {Multisummability of formal power series solutions of nonlinear meromorphic differential equations},
     journal = {Annales de l'Institut Fourier},
     pages = {517--540},
     publisher = {Institut Fourier},
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     volume = {42},
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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/articles/10.5802/aif.1301/

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