Brief communications

To a solution of the homogeneous Riemann–Hilbert boundary-value problem for analytic function in multiconnected circular domain in a special case

R. B. Salimov

Chair of Higher Mathematics, Kazan State University of Architecture and Engineering, 1 Zelyonaya str., Kazan, 420043 Russia

Abstract: We present a new approach to solution of the homogeneous Riemann–Hilbert boundary-value problem for analytic function in multiconnected circular domain. This approach is based on definition of analytic function by known boundary values of its argument in a special case.

Keywords: Riemann–Hilbert boundary-value problem, index of a problem, Schwarz's operator.

UDC: 517.54

Received: 15.03.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:5, 63–66

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