Geodesic
One case of solution in a closed form of Markushevich boundary problem for semiplane
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 2, pp. 12-16

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In the article an explicit method for the solution of Markushevich boundary value problem directed by L. I. Chibrikova in the class of piecewise analytic functions is given. Boundary condition of the problem is given on the line. The problem is found in a closed form under certain constratints on the coefficient $b(t)$ of the problem.
Keywords: boundary problems for analytic functions, Riemann boundary problem, Hilbert boundary problem, Markushevich boundary problem. 
@article{VYURM_2014_6_2_a1,
     author = {A. A. Patrushev},
     title = {One case of solution in a closed form of {Markushevich} boundary problem for semiplane},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {12--16},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2014_6_2_a1/}
}
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A. A. Patrushev. One case of solution in a closed form of Markushevich boundary problem for semiplane. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 2, pp. 12-16. http://geodesic.mathdoc.fr/item/VYURM_2014_6_2_a1/