Geodesic
The Hilbert boundary-value problem with a~finite index and a~countable set of jump discontinuities in coefficients
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 36-47

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We consider the Hilbert boundary-value problem with a finite index for the case, when the coefficients in the boundary condition have two infinite sequences of discontinuity points of the first kind. We obtain a formula for the general solution and study the solvability issues.
Keywords: Hilbert boundary-value problem, finite index, Schwarz problem. 
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     author = {R. B. Salimov and P. L. Shabalin},
     title = {The {Hilbert} boundary-value problem with a~finite index and a~countable set of jump discontinuities in coefficients},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--47},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_3_a5/}
}
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R. B. Salimov; P. L. Shabalin. The Hilbert boundary-value problem with a~finite index and a~countable set of jump discontinuities in coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 36-47. http://geodesic.mathdoc.fr/item/IVM_2010_3_a5/