## Multisummability of formal power series solutions of nonlinear meromorphic differential equations.(English)Zbl 0759.34003

A proof is given of a theorem of J. Ecalle that formal power series solutions of nonlinear meromorphic differential equations are multisummable.

### MSC:

 34M99 Ordinary differential equations in the complex domain 34E05 Asymptotic expansions of solutions to ordinary differential equations 40G10 Abel, Borel and power series methods 40G99 Special methods of summability
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### References:

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