Multisummability and ordinary meromorphic differential equations

@article{BoeleBraaksma2012,
abstract = {In this expository paper we consider various approaches to multisummability. We apply it to nonlinear ODE's and give a somewhat modified proof of multisummability of formal solutions of ODE's with levels 1 and 2 via Écalle's method involving convolution equations.},
author = {Boele Braaksma},
journal = {Banach Center Publications},
keywords = {multisummability; meromorphic ordinary differential equations; Laplace and Borel transforms; Gevrey properties; convolution equations},
language = {eng},
number = {1},
pages = {29-38},
title = {Multisummability and ordinary meromorphic differential equations},
url = {http://eudml.org/doc/281949},
volume = {97},
year = {2012},
}

TY - JOUR
AU - Boele Braaksma
TI - Multisummability and ordinary meromorphic differential equations
JO - Banach Center Publications
PY - 2012
VL - 97
IS - 1
SP - 29
EP - 38
AB - In this expository paper we consider various approaches to multisummability. We apply it to nonlinear ODE's and give a somewhat modified proof of multisummability of formal solutions of ODE's with levels 1 and 2 via Écalle's method involving convolution equations.
LA - eng
KW - multisummability; meromorphic ordinary differential equations; Laplace and Borel transforms; Gevrey properties; convolution equations
UR - http://eudml.org/doc/281949
ER -