I. V. Vyugin, R. I. Levin, “On the Riemann–Hilbert problem for difference and <nobr>$q$</nobr>-difference systems”, Trudy Mat. Inst. Steklova, 2017, Volume 297,Pages <nobr>326–343</nobr>

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Trudy Mat. Inst. Steklova, 2017 Volume 297, Pages 326–343 (Mi tm3837)

On the Riemann–Hilbert problem for difference and $q$-difference systems

I. V. Vyugin^ab, R. I. Levin^b

^a Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Bol'shoi Karetnyi per. 19, str. 1, Moscow, 127051 Russia
^b National Research University "Higher School of Economics", ul. Myasnitskaya 20, Moscow, 101000 Russia

Abstract: We study an analog of the classical Riemann–Hilbert problem stated for the classes of difference and $q$-difference systems. We generalize Birkhoff's existence theorem.

UDC: 517.927.7

Received: February 19, 2017

DOI: 10.1134/S0371968517020182

English version: Proceedings of the Steklov Institute of Mathematics, 2017, 297, 297–313

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