@incollection{SB_1978-1979__21__228_0,
author = {Bertrand, Daniel},
title = {Travaux r\'ecents sur les points singuliers des \'equations diff\'erentielles lin\'eaires},
booktitle = {S\'eminaire Bourbaki : vol. 1978/79, expos\'es 525-542},
series = {S\'eminaire Bourbaki},
note = {talk:538},
pages = {228--243},
year = {1980},
publisher = {Springer-Verlag},
address = {Berlin/Heidelberg},
number = {21},
mrnumber = {572427},
zbl = {0445.12012},
language = {fr},
url = {https://www.numdam.org/item/SB_1978-1979__21__228_0/}
}
TY - CHAP AU - Bertrand, Daniel TI - Travaux récents sur les points singuliers des équations différentielles linéaires BT - Séminaire Bourbaki : vol. 1978/79, exposés 525-542 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:538 PY - 1980 SP - 228 EP - 243 IS - 21 PB - Springer-Verlag PP - Berlin/Heidelberg UR - https://www.numdam.org/item/SB_1978-1979__21__228_0/ LA - fr ID - SB_1978-1979__21__228_0 ER -
%0 Book Section %A Bertrand, Daniel %T Travaux récents sur les points singuliers des équations différentielles linéaires %B Séminaire Bourbaki : vol. 1978/79, exposés 525-542 %A Collectif %S Séminaire Bourbaki %Z talk:538 %D 1980 %P 228-243 %N 21 %I Springer-Verlag %C Berlin/Heidelberg %U https://www.numdam.org/item/SB_1978-1979__21__228_0/ %G fr %F SB_1978-1979__21__228_0
Bertrand, Daniel. Travaux récents sur les points singuliers des équations différentielles linéaires, dans Séminaire Bourbaki : vol. 1978/79, exposés 525-542, Séminaire Bourbaki, no. 21 (1980), Exposé no. 538, 16 p.. https://www.numdam.org/item/SB_1978-1979__21__228_0/
[1] - Differential modules and singular points of p-adic differential equations, (preprint).
[2] , , - Birkhoff invariants and Stokes' Multipliers for meromorphic linear differential equations, (preprint). | MR
[3] - Singular points of ordinary differential equations, Trans. A.M.S., 10(1909), 436-470. | MR | JFM
[4] - The generalized Riemann problem for linear differential equations, Proc. Am. Ac. A. Sc., 49(1913), 521-568. | JFM
[5] - A note on the p-adic convergence of solutions of linear differential equations, Proc. A.M.S., 17(1966), 262-269. | Zbl | MR
[6] , - Theory of ordinary differential equations, Mc Graw Hill, 1955. | Zbl | MR
[7] - Formal solutions of irregular linear differential equations, II, Amer. J. Math., 58(1936), 130-140. | MR | JFM
[8] - Equations différentielles à points singuliers réguliers, Springer, Lecture Notes n° 163, 1970. | Zbl | MR
[9] - Lettres à Malgrange, (Août 1977 et Avril 1978).
[10] , - On ordinary linear p-adic differential equations, Trans. A.M.S., 231(1977), 1-46. | Zbl | MR
[11] - Asymptotic expansions, Dover, 1956. | Zbl | MR
[12] , - Invariants mesurant l'irrégularité en un point singulier des systèmes..., Ann. Inst. Fourier, 23(1973), 157-195. | Zbl | MR | Numdam
[13] , - Determining factors and hypoellipticity..., Astérisque, 2-3(1973), 197-216. | Zbl | MR | Numdam
[14] - Sur les points singuliers des équations différentielles linéaires, III, Mém. Fac. Sc. Kyusu Un., 2(1942), 125-137. | Zbl | MR
[15] - Ordinary differential equations, Dover. | Zbl | MR
[16] - Pseudo-linear transformations, Annals of Math., 38(1937), 484-507. | Zbl | MR
[17] , - On the order of solutions of analytic linear differential equations, Proc. London M. S., 3(1971), 465-482. | Zbl | MR
[18] - Meromorphe Differentialgleichungen, Springer Lecture Notes n° 637, 1978. | Zbl | MR
[19] - Nilpotent connections and the monodromy theorem..., Publ. Math. IHES, n° 39 (1970), 175-232. | Zbl | MR | Numdam
[20] - An overview of Deligne's work on Hilbert's 21rst problem, Proc. Symp. Pure Maths, 28(1976), 537-557. | Zbl | MR
[21] - An introduction in the theory of hyperfunctions, in Proc. Conf. Katata, Springer Lecture Notes n° 287 (1973), 3-40. | Zbl | MR
[22] - Jordan decomposition for a class of singular differential operators, Arkiv for Math., 13(1975), 1-27. | Zbl | MR
[23] - Lectures on transcendental numbers, Springer Lecture Notes n° 546, 1976. | Zbl | MR
[24] - Sur les points singuliers des équations différentielles linéaires, Enseign. math., 20(1970), 147-176. | Zbl | MR
[25] - Remarques sur les équations différentielles à points singuliers irréguliers, Séminaire Goulaouic-Schwartz, 76-77, n° 25. | Numdam
[26] - Sur la réduction formelle des équations différentielles à singularités irrégulières, (preprint).
[27] - Moduli fuchsiani, Ann. Sc. Norm. Pisa, III, 19(1965), 113-126. | Zbl | MR | Numdam
[28] - Systèmes différentiels du type de Fuchs en théorie des distributions, Comment. Math. Helv., 33(1959), 38-46. | Zbl | MR
[29] - The order of a singularity in Fuchs' theory, Math. Zeit., 72(1960), 379-398. | Zbl | MR
[30] - Über lineare Differentialgleichungen mit rationalen Koeffizienten, Acta Math., 34(1911), 139-163. | MR | JFM
[31] - Über Summengleichungen and Poincarésche Differenzengleichungen, Math. Ann., 84(1921), 1-15. | MR | JFM
[32] - Dévissage Gevrey, Astérisque 59-60(1978), 173-204. | Zbl | MR | Numdam
[33] - Sommation de séries divergentes, Séminaire Lelong-Skoda, 78-79.
[34] - Lemmes de Hensel pour les opérateurs différentiels, Séminaire Amice-Christol-Robba, 78-79.
[35] - Stokes phenomena, Bull. A.M.S., 83(1977), 1075-1077. | Zbl | MR
[36] , - Convergence of power series solutions of p-adic non-linear differential equations, (preprint).
[37] - Analytic theory of linear differential equations, Acta. Math., 62(1933), 167-226. | Zbl | MR
[38] - Convergent solutions of ordinary linear homogenous differential equations..., Acta Math., 93(1955), 27-66. | Zbl | MR
[39] - Reduction of ordinary differential equations to the Birkhoff canonical form, Trans. A.M.S., 107(1963), 485-507. | Zbl | MR
[40] - Asymptotic expansions for ordinary differential equations, Wiley, 1963.
[41] - A theory of asymptotic series, Phil. Tr. R. Soc. A., 211(1912), 279-343. | JFM






