Remarks on the intrinsic inverse problem
Banach Center Publications, Tome 58 (2002) no. 1, p. 127.

Voir la notice de l'article dans European Digital Mathematics Library

The intrinsic differential Galois group is a twisted form of the standard differential Galois group, defined over the base differential field. We exhibit several constraints for the inverse problem of differential Galois theory to have a solution in this intrinsic setting, and show by explicit computations that they are sufficient in a (very) special situation.
Classification : 20G15, 12H05
Mots-clés : differential Galois group, inverse problem, Picard-Vessiot extension, Katz group 
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     author = {Daniel  Bertrand},
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     journal = {Banach Center Publications},
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     zbl = {1028.12004},
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Daniel  Bertrand. Remarks on the intrinsic inverse problem. Banach Center Publications, Tome 58 (2002) no. 1, p. 127. https://geodesic-test.mathdoc.fr/item/BCP_2002__58_1_281690/