Galois properties of linear differential equations

Marius Van der Put

Annales de la Faculté des sciences de Toulouse : Mathématiques (2004)

  • Volume: 13, Issue: 3, page 459-475
  • ISSN: 0240-2963

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Van der Put, Marius. "Galois properties of linear differential equations." Annales de la Faculté des sciences de Toulouse : Mathématiques 13.3 (2004): 459-475. <http://eudml.org/doc/73631>.

@article{VanderPut2004,
author = {Van der Put, Marius},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {eng},
number = {3},
pages = {459-475},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Galois properties of linear differential equations},
url = {http://eudml.org/doc/73631},
volume = {13},
year = {2004},
}

TY - JOUR
AU - Van der Put, Marius
TI - Galois properties of linear differential equations
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2004
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 13
IS - 3
SP - 459
EP - 475
LA - eng
UR - http://eudml.org/doc/73631
ER -

References

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  1. [C] Clark ( D.). - A note on the p-adic convergence of solutions of linear differential equations, Proc. Amer. Math. Soc.17, p. 262-269 (1966). Zbl0147.31101MR186895
  2. [H-P] Hendriks ( P.A. ) , Van Der Put ( M.). — Galois action on solutions of a differential equation, J. Symbolic Computation19, p. 559-576 (1995). Zbl0855.12006MR1370622
  3. [H] Van Hoeij ( M. ). - Factorization of Linear Differential Operators , Ph.D. thesis, University of Nijmegen ( 1996). 
  4. [Ho-P] Van Hoeij ( M. ), Van Der Put ( M.). - Descent for differential modules and skew fields, preprint December 2002, available on the homepage of M. van Hoeij. 
  5. [P80] Van Der Put ( M.). - Meromorphic differential equations over valued fields, Proceedings A 83 (3), September 1980. Also published as Indagationes Mathematicae, 42 (1980). Zbl0445.12013MR587058
  6. [P] VAN DER Put ( M.). - Skew differential fields, preprint University of Groningen (2002). MR2069218
  7. [P-S] VAN DER Put ( M.), Singer ( M.F.). - Galois Theory of Linear Differential Equations, Grundlehren der Mathematik328, Springer-Verlag (2003). Zbl1036.12008MR1960772
  8. [S] Serre ( J.-P. ). — Corps locaux, Hermann, Paris (1968). MR354618
  9. [Si] Singer ( M.F. ). - Solving homogeneous linear differential equations in terms of Second Order Linear Differential Equations, Amer. J. of Math., 107, p. 663-696 (1985). Zbl0564.12022MR789659
  10. [So] Sommeling ( R. ). — Characteristic classes for irregular singularities, Ph.D. thesis, University of Nijmegen (1993). 

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