Geodesic
On the Dimension of the Subspace of Liouvillian Solutions of a Fuchsian System
Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 178-185

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The paper deals with the problem of determining the dimension of the subspace of Liouvillian solutions of a Fuchsian system of linear differential equations in the case where this question can be answered directly in terms of the matrix of coefficients of the system.
Keywords: Fuchsian system, logarithmic connection, Piccard–Vessiot extension, differential Galois group
Mots-clés : Liouvillian solution. 
@article{MZM_2017_102_2_a1,
     author = {R. R. Gontsov},
     title = {On the {Dimension} of the {Subspace} of {Liouvillian} {Solutions} of a {Fuchsian} {System}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {178--185},
     publisher = {mathdoc},
     volume = {102},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a1/}
}
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R. R. Gontsov. On the Dimension of the Subspace of Liouvillian Solutions of a Fuchsian System. Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 178-185. http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a1/