We show that general differential Galois theory of Malgrange (2001) and ours (1996) are equivalent. To cite this article: H. Umemura, C R. Acad. Sci. Paris, Ser. I 346 (2008). (D 2008 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves.
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St Petersburg State Univ, Inst Phys, Dept Theoret Phys, St Petersburg 198504, Petrodvoretz, Russia
St Petersburg State Univ, Dept Math & Mech, Chebyshev Lab, St Petersburg 199178, Russia
Russian Acad Sci, St Petersburg Dept Steklov Math Inst, St Petersburg 191023, RussiaSt Petersburg State Univ, Inst Phys, Dept Theoret Phys, St Petersburg 198504, Petrodvoretz, Russia
Chicherin, D.
Gorbenko, V.
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St Petersburg State Univ, Inst Phys, Dept Theoret Phys, St Petersburg 198504, Petrodvoretz, Russia
NYU, Dept Phys, Ctr Cosmol & Particle Phys, New York, NY 10003 USASt Petersburg State Univ, Inst Phys, Dept Theoret Phys, St Petersburg 198504, Petrodvoretz, Russia
Gorbenko, V.
Vereshagin, V.
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St Petersburg State Univ, Inst Phys, Dept Theoret Phys, St Petersburg 198504, Petrodvoretz, RussiaSt Petersburg State Univ, Inst Phys, Dept Theoret Phys, St Petersburg 198504, Petrodvoretz, Russia