Geodesic
A variant of the solution of Markushevich boundary problem
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 1, pp. 63-68

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In the article an explicit method for the solution of Markushevich boundary value problem in the class of piecewise analytic functions is suggested. Boundary condition of the problem is given on the unit circle. The problem is found in a closed form under additional restriction on the coefficient $b(t)$ of the problem.
Keywords: boundary problems for analytic functions, Riemann boundary problem, Hilbert bound­ary problem, Markushevich boundary problem. 
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     author = {A. A. Patrushev and E. V. Patrusheva},
     title = {A variant of the solution of {Markushevich} boundary problem},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {63--68},
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     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2013_5_1_a9/}
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A. A. Patrushev; E. V. Patrusheva. A variant of the solution of Markushevich boundary problem. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 1, pp. 63-68. http://geodesic.mathdoc.fr/item/VYURM_2013_5_1_a9/