Multisummability and ordinary meromorphic differential equations
Boele Braaksma
Banach Center Publications, Tome 97 (2012), p. 29-38 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:281949 
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     author = {Boele Braaksma},
     title = {Multisummability and ordinary meromorphic differential equations},
     journal = {Banach Center Publications},
     volume = {97},
     year = {2012},
     pages = {29-38},
     zbl = {1262.34001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc97-0-2}
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Boele Braaksma. Multisummability and ordinary meromorphic differential equations. Banach Center Publications, Tome 97 (2012) pp. 29-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc97-0-2/