Abstract
We consider the Hilbert boundary value problem for the upper half-plane in the situation where its coefficients have countably many discontinuities of jump type and two-side curling at infinity. We obtain the general solution and describe completely its solvability in a special class of functions for the case where the index of the problem has power singularity of order lesser than 1.
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Notes
The research is supported by the Russian Foundation for Basic Researches [grant number 11-01-00762-a]; [grant number 12-01-00636-a].