Geodesic
A homogeneous Hilbert problem with discontinuous coefficients and two-side curling at infinity of order~$1/2\leq\rho1$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2012), pp. 67-71

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We study a homogeneous Riemann–Hilbert boundary value problem in the upper half of the complex plane with a countable set of coefficient discontinuities and two-side curling at infinity. We obtain a general solution in the case when the problem index has a power singularity of order $\rho$, $1/2\leq\rho1$, and study the solvability conditions.
Keywords: Riemann–Hilbert boundary value problem, curling at infinity, entire functions. 
@article{IVM_2012_11_a5,
     author = {R. B. Salimov and P. L. Shabalin},
     title = {A homogeneous {Hilbert} problem with discontinuous coefficients and two-side curling at infinity of order~$1/2\leq\rho<1$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {67--71},
     publisher = {mathdoc},
     number = {11},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_11_a5/}
}
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R. B. Salimov; P. L. Shabalin. A homogeneous Hilbert problem with discontinuous coefficients and two-side curling at infinity of order~$1/2\leq\rho<1$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2012), pp. 67-71. http://geodesic.mathdoc.fr/item/IVM_2012_11_a5/