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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 297, Pages 326–343
DOI: https://doi.org/10.1134/S0371968517020182 (Mi tm3837) 		 
On the Riemann–Hilbert problem for difference and $q$-difference systems

I. V. Vyuginab, R. I. Levinb

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
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DOI: https://doi.org/10.1134/S0371968517020182
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.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00515-a
16-51-150005-нцни-a
Simons Foundation
The work of the first author was supported by the Russian Foundation for Basic Research (project no. 17-01-00515-a), by the RFBR jointly with the CNRS (project no. 16-51-150005-ntsni-a), and by the Simons Foundation.
Received: February 19, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 297, Pages 297–313
DOI: https://doi.org/10.1134/S0081543817040186
Bibliographic databases:
Document Type: Article
UDC: 517.927.7
Language: Russian
Citation: I. V. Vyugin, R. I. Levin, “On the Riemann–Hilbert problem for difference and $q$-difference systems”, Order and chaos in dynamical systems, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Dmitry Victorovich Anosov, Trudy Mat. Inst. Steklova, 297, MAIK Nauka/Interperiodica, Moscow, 2017, 326–343; Proc. Steklov Inst. Math., 297 (2017), 297–313
Citation in format AMSBIB
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\by I.~V.~Vyugin, R.~I.~Levin
\paper On the Riemann--Hilbert problem for difference and $q$-difference systems
\inbook Order and chaos in dynamical systems
\bookinfo Collected papers. On the occasion of the 125th anniversary of the birth of Academician Dmitry Victorovich Anosov
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 297
\pages 326--343
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968517020182}
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