On the dimension of the subspace of Liouvillian solutions of a Fuchsian system

Author:

Gontsov R. R.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference8 articles.

1. I. Kaplansky, An Introduction to Differential Algebra (Hermann, Paris, 1957; Inostr. Lit., Moscow, 1959).

2. A. G. Khovanskii, Galois Topological Theory. Solvability and Unsolvability of Equations in Final Form (MTsNMO, Moscow, 2008) [in Russian].

3. I. V. V’yugin and R. R. Gontsov, “On solvability in quadratures of Fuchsian systems,” Uspekhi Mat. Nauk 67 (3 (405)), 183–184 (2012) [Russian Math. Surveys 67 (3 (405)), 585–587 (2012)].

4. A. A. Bolibrukh, Inverse Problems of Monodromy in Analytical Theory of Differential Equations (MTsNMO, Moscow, 2009) [in Russian].

5. Yu. S. Il’yashenko and S. Yu. Yakovenko, Analytical Theory of Differential Equations (MTsNMO, Moscow, 2013), Vol. 1 [in Russian].

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1. Linear Differential Systems with Small Coefficients: Various Types of Solvability and their Verification;Symmetry, Integrability and Geometry: Methods and Applications;2019-08-09

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