Geodesic
On solvability of homogeneous Riemann--Hilbert problem with countable set of coefficient discontinuities and two-side curling at infinity of order less than~1/2
Ufa mathematical journal, Tome 5 (2013) no. 2, pp. 82-93

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We consider the homogeneous Riemann–Hilbert problem in the complex upper half-plane with a countable set of coefficients' discontinuities and two-side curling at infinity. In the case the problem index has a power singularity of order less than 1/2, we obtain general solution and completely study the solvability of the problem in a special functional class.
Keywords: Riemann–Hilbert problem, curling at infinity, infinite index, entire functions. 
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     author = {R. B. Salimov and P. L. Shabalin},
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R. B. Salimov; P. L. Shabalin. On solvability of homogeneous Riemann--Hilbert problem with countable set of coefficient discontinuities and two-side curling at infinity of order less than~1/2. Ufa mathematical journal, Tome 5 (2013) no. 2, pp. 82-93. http://geodesic.mathdoc.fr/item/UFA_2013_5_2_a7/