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math.CA2017
On the Riemann-Hilbert Problem for Difference and -Difference Systems
Ilya Vyugin, Roman Levin
In this paper we study an analogue of the classical Riemann-Hilbert problem stated for the classes of difference and -difference systems. The Birkhoff's existence theorem was ge…
math.CA2012
Expansions for solutions of the Schlesinger equation at a singular point
Ilya Vyugin
A local behavior of solutions of the Schlesinger equation is studied. We obtain expansions for this solutions, which converge in some neighborhood of a singular point. As a corolla…