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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 3, Pages 38–53
DOI: https://doi.org/10.26907/0021-3446-2019-3-38-53 (Mi ivm9446) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Hilbert boundary-value problem with different two-sided power-law vorticity at infinity

E. N. Khasanova, P. L. Shabalin

Kazan State Architecture and Civil Engineering University, 1 Zelyonaya str., Kazan, 420043 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-3-38-53
Abstract: We consider the Hilbert boundary-value problem for the half-plane with the countable set of points of discontinuity of the first kind and unique point of discontinuity of the second kind at infinity of the argument of function of coefficients of the boundary condition. This leads to the different two-sided power-law vorticity at infinity. In this paper we derive the general solution and deduce the full solution to the homogeneous problem for the special class of function. We also found the the general solution of the non-homogeneous problem.
Keywords: Hilbert boundary-value problem, infinity index, vorticity at infinity, curling at infinity, entire function.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00282_a
18-31-00060
Received: 05.02.2018
Revised: 17.05.2018
Accepted: 20.06.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 3, Pages 31–44
DOI: https://doi.org/10.3103/S1066369X19030046
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: E. N. Khasanova, P. L. Shabalin, “Hilbert boundary-value problem with different two-sided power-law vorticity at infinity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 3, 38–53; Russian Math. (Iz. VUZ), 63:3 (2019), 31–44
Citation in format AMSBIB
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\pages 38--53
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\pages 31--44
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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