Invariants mesurant l'irrégularité en un point singulier des systèmes d'équations différentielles linéaires

R. Gérard; A. H. M. Levelt

Recherche Coopérative sur Programme n°25 (1972)

  • Volume: 14, Issue: 1, page 1-35

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Gérard, R., and Levelt, A. H. M.. "Invariants mesurant l'irrégularité en un point singulier des systèmes d'équations différentielles linéaires." Recherche Coopérative sur Programme n°25 14.1 (1972): 1-35. <http://eudml.org/doc/274097>.

@article{Gérard1972,
author = {Gérard, R., Levelt, A. H. M.},
journal = {Recherche Coopérative sur Programme n°25},
language = {fre},
number = {1},
pages = {1-35},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Invariants mesurant l'irrégularité en un point singulier des systèmes d'équations différentielles linéaires},
url = {http://eudml.org/doc/274097},
volume = {14},
year = {1972},
}

TY - JOUR
AU - Gérard, R.
AU - Levelt, A. H. M.
TI - Invariants mesurant l'irrégularité en un point singulier des systèmes d'équations différentielles linéaires
JO - Recherche Coopérative sur Programme n°25
PY - 1972
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 14
IS - 1
SP - 1
EP - 35
LA - fre
UR - http://eudml.org/doc/274097
ER -

References

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  7. [7] Jurkat W.B. and Lutz D.A.On the order of solutions of analytic linear differential equations. Proc. London Math. Soc.3 (1971), p· 465-482. Zbl0246.34009MR287062
  8. [8] Levet A.H.M.Hypergeometric functions. Proc. Kon. Ned. Akad. Wetensch. A, 64 (1961), p. 361-403. 
  9. [9] Loewy A.liber einen Fundamentalsatz für Matrizen oder lineare homogene Differentialsysteme. Sitzungsberichte Heidelb. Wissenschaften. Abt. A, 5. Abhandlung (1918). JFM46.0673.01
  10. [10] Lutz D.A.Some characterizations of Systems of linear differential equations having regular singular solutions. Trans. A.M.S.126 (1967), p. 427-441. Zbl0153.11102MR206370
  11. [11] Lutz D. A.Perturbations of matrix differential équations in the neighborhood of an irregular singuiar point. Funkcial. Ekvac.13 n° 2 (1970), p. 97-107. Zbl0257.34060MR282017
  12. [12] Malgrange B.Remarques sur les points singuliers des équations différentielles. C.R. Acad. Sc.Paris t. 273 (1971), Série A, p. 1136. Zbl0232.34012MR293155
  13. [13] Milnor J.Singular points of complex hypersurfaces. Ann. of Math. Studies. Princeton University Press. Princeton University Press (1968). Zbl0184.48405MR239612
  14. [14] Moser J.The order of a singularity in Fuch's theory. Math. Zeitschrift72 (1960), p. 379-398. Zbl0117.04902MR117375

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