Geodesic
On solvability of homogeneous Riemann--Hilbert problem with discontinuities of coefficients and two-side curling at infinity of a~logarithmic order
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2016), pp. 36-48

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We consider the homogeneous Riemann–Hilbert boundary-value problem for upper half-plane in the situation where its coefficients have countable set of discontinuities of jump type and two-side curling at infinity of a logarithmic order. We obtain 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 a logarithmic order.
Keywords: Riemann–Hilbert boundary-value problem, curling at infinity, infinite index, entire functions of zero order. 
@article{IVM_2016_1_a3,
     author = {R. B. Salimov and P. L. Shabalin},
     title = {On solvability of homogeneous {Riemann--Hilbert} problem with discontinuities of coefficients and two-side curling at infinity of a~logarithmic order},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--48},
     publisher = {mathdoc},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_1_a3/}
}
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R. B. Salimov; P. L. Shabalin. On solvability of homogeneous Riemann--Hilbert problem with discontinuities of coefficients and two-side curling at infinity of a~logarithmic order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2016), pp. 36-48. http://geodesic.mathdoc.fr/item/IVM_2016_1_a3/