Multisummability of formal power series solutions of nonlinear meromorphic differential equations
Annales de l'Institut Fourier, Tome 42 (1992) no. 3, pp. 517-540
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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.
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.
@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},
pages = {517--540},
year = {1992},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {42},
number = {3},
doi = {10.5802/aif.1301},
mrnumber = {93j:34006},
zbl = {0759.34003},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/aif.1301/}
}
TY - JOUR AU - Braaksma, Boele L. J. TI - Multisummability of formal power series solutions of nonlinear meromorphic differential equations JO - Annales de l'Institut Fourier PY - 1992 SP - 517 EP - 540 VL - 42 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://geodesic.mathdoc.fr/articles/10.5802/aif.1301/ DO - 10.5802/aif.1301 LA - en ID - AIF_1992__42_3_517_0 ER -
%0 Journal Article %A Braaksma, Boele L. J. %T Multisummability of formal power series solutions of nonlinear meromorphic differential equations %J Annales de l'Institut Fourier %D 1992 %P 517-540 %V 42 %N 3 %I Institut Fourier %C Grenoble %U http://geodesic.mathdoc.fr/articles/10.5802/aif.1301/ %R 10.5802/aif.1301 %G en %F 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
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