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This article is cited in 9 scientific papers (total in 9 papers)
Mathematics
On explicit and exact solutions of the Markushevich boundary problem for circle
V. M. Adukov, A. A. Patrushev South Ural State University, Chelyabinsk
Abstract:
In the article the Markushevich boundary problem on the circle is considered for the case when the first coefficient of the problem is an arbitrary function from the Hölder class and the second coefficient is the boundary value of a function that is meromorphic in the unit disk. An explicit method of solution of the given problem is proposed, the number of linearly independent solutions of the homogeneous problem and the number of solvability conditions are calculated, the general solution of the problem is found.
Key words:
boundary problems for analytic functions, Markushevich boundary problem, Riemann matrix boundary problem.
Citation:
V. M. Adukov, A. A. Patrushev, “On explicit and exact solutions of the Markushevich boundary problem for circle”, Izv. Saratov Univ. Math. Mech. Inform., 11:2 (2011), 9–20
Linking options:
https://www.mathnet.ru/eng/isu212 https://www.mathnet.ru/eng/isu/v11/i2/p9
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