XXXVII Workshop on Geometric Methods in Physics 1-7.07.2018
VII School on Geometry and Physics 25-29.06.2018

Ilya Vyugin

On the Riemann-Hilbert Problem for Difference and q-Difference Equations

We study an analogue of the classical Riemann-Hilbert problem stated for the classes of difference and $q$-difference systems.
A generalization of Birkhoff's existence theorem is presented. We prove that for any admissible set of characteristic constants there exists a system
Y(z+1)=A(z)Y(z) \text{ or } Y(qz)=Q(z)Y(z),
which has the given constants.

Event sponsored by:
of Bialystok
University of Bialystok

Webpage by: Tomasz GolinskiTomasz Golinski