Cite this article as:

Salimov R. B. Modification of new approach to solution of the Hilbert boundary value problem for analytic function in multi-connected circular domain . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2012, vol. 12, iss. 1, pp. 32-38. DOI: https://doi.org/10.18500/1816-9791-2012-12-1-32-38

Language:

Russian

Heading:

Mathematics

UDC:

517.54

Modification of new approach to solution of the Hilbert boundary value problem for analytic function in multi-connected circular domain

Authors:

Salimov Rasikh Bakhtigareevich, Kazan State University of Architecture and Engineering, Kazan State University of Architecture and Engineering, Russia, 420043, Kazan, Zelenaya st., 1 , salimov.rsb@gmail.com

Abstract:

The author offers a new approach to the Riemann–Hilbert boundary value problem in multiconnected domain. The approach bases on certain construction of solution of corresponding homogeneous problem including determination of analytic function by known boundary values of its argument circular domain.

Key words:

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

DOI:

https://doi.org/10.18500/1816-9791-2012-12-1-32-38

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