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On solvability of homogeneous Riemann–Hilbert problem with discontinuities of coefficients and two-sided curling at infinity of a logarithmic order

Salimov, R. ; Shabalin, P.

Russian Mathematics, 2016, Vol.60(1), pp.30-41 [Periódico revisado por pares]

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Título:
On solvability of homogeneous Riemann–Hilbert problem with discontinuities of coefficients and two-sided curling at infinity of a logarithmic order
Autor: Salimov, R. ; Shabalin, P.
Assuntos: Riemann–Hilbert boundary-value problem ; curling at infinity ; infinite index ; entire functions of zero order
É parte de: Russian Mathematics, 2016, Vol.60(1), pp.30-41
Descrição: We consider a homogeneous Riemann–Hilbert boundary-value problem for upper halfplane 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.
Idioma: Inglês

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