7 citations · 21 across the 18 of their papers we have counts for
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math.CA2013
Solvability of linear differential systems in the Liouvillian sense
Renat Gontsov, Ilya Vyugin
The paper concerns the solvability by quadratures of linear differential systems, which is one of the questions of differential Galois theory. We consider systems with regular sing…
math.CA2013★ 1 cited
An analytic proof of the Malgrange-Sibuya theorem on the convergence of formal solutions of an ODE
R. R. Gontsov, I. V. Goryuchkina
We propose an analytic proof of the Malgrange-Sibuya theorem concerning a sufficient condition of the convergence of a formal power series satisfying an ordinary differential equat…
math.CA2013★ 6 cited
On the reducibility of Schlesinger isomonodromic families
R. R. Gontsov, V. P. Leksin
We obtain some sufficient conditions for reducibility of a Schlesinger isomonodromic family with the (block) upper-triangular monodromy to the same (block) upper-triangular form vi…