@incollection{AST_2009__323__61_0, author = {Cano, Jos\'e and Fortuny Ayuso, Pedro}, title = {The space of generalized formal power series solution of an ordinary differential equation}, booktitle = {\'Equations diff\'erentielles et singularit\'es. En l'honneur de J. M. Aroca}, editor = {Cano F. and Loray F. and Moralez-Ruiz J. J. and Sad P. and Spivakovsky M.}, series = {Ast\'erisque}, pages = {61--81}, publisher = {Soci\'et\'e math\'ematique de France}, number = {323}, year = {2009}, zbl = {1272.34015}, language = {en}, url = {http://archive.numdam.org/item/AST_2009__323__61_0/} }
TY - CHAP AU - Cano, José AU - Fortuny Ayuso, Pedro TI - The space of generalized formal power series solution of an ordinary differential equation BT - Équations différentielles et singularités. En l'honneur de J. M. Aroca AU - Collectif ED - Cano F. ED - Loray F. ED - Moralez-Ruiz J. J. ED - Sad P. ED - Spivakovsky M. T3 - Astérisque PY - 2009 SP - 61 EP - 81 IS - 323 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2009__323__61_0/ LA - en ID - AST_2009__323__61_0 ER -
%0 Book Section %A Cano, José %A Fortuny Ayuso, Pedro %T The space of generalized formal power series solution of an ordinary differential equation %B Équations différentielles et singularités. En l'honneur de J. M. Aroca %A Collectif %E Cano F. %E Loray F. %E Moralez-Ruiz J. J. %E Sad P. %E Spivakovsky M. %S Astérisque %D 2009 %P 61-81 %N 323 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2009__323__61_0/ %G en %F AST_2009__323__61_0
Cano, José; Fortuny Ayuso, Pedro. The space of generalized formal power series solution of an ordinary differential equation, in Équations différentielles et singularités. En l'honneur de J. M. Aroca, Astérisque, no. 323 (2009), pp. 61-81. http://archive.numdam.org/item/AST_2009__323__61_0/
[1] Propriétés des fonctions définies par des équations différentielles", Journal de l'École polytechnique 36 (1856), 133-198.
& - "[2] On the series defined by differential equations, with an extension of the Puiseux polygon construction to these equations", Analysis 13 (1993), p. 103-119. | DOI | Zbl
- "[3] An introduction to semialgebraic geometry, Istituti Editoriali e Poligrafici Internazionali, Pisa, 2000.
-[4] On the Functions Defined by Differential Equations, with an Extension of the Puiseux Polygon Construction to these Equations", Amer. J. Math. 11 (1889), p. 317-328. | DOI | JFM
- "[5] Solving ordinary differential equations in terms of series with real exponents", Trans. Amer. Math. Soc. 327 (1991), p. 329-351. | DOI | Zbl
& - "[6] Asymptotique automatique", Ph.D. Thesis, Université Paris 7, 1997. | Zbl
- "[7] Transseries and real differential algebra, Lecture Notes in Mathematics, vol. 1888, Springer, 2006. | Zbl
,