Multisummability and ordinary meromorphic differential equations

Boele Braaksma

Banach Center Publications (2012)

  • Volume: 97, Issue: 1, page 29-38
  • ISSN: 0137-6934

Abstract

top
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.

How to cite

top

Boele Braaksma. "Multisummability and ordinary meromorphic differential equations." Banach Center Publications 97.1 (2012): 29-38. <http://eudml.org/doc/281949>.

@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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.