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Working paper

Solvability of linear differential systems in the Liouvillian sense

Gontsov R. R., Vyugin I. V.
The paper conserns the solvability by quadratures of linear diferential systems, which is one of the qestions of the differential Galois theory. We consider systems with regular singular points as well as those with (non-resonant) irregular ones and propose some criteria of summubility for systems whose (formal) exponents are sufficiently small.