Geodesic
A generalized Riemann boundary value problem and integral
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1651-1662 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we an equivalen find a connection between the generalized Riemann boundary value problem (also known under the name of the Markushevich boundary problem or the ${\mathbb R}$-linear problem) and convolution equation of the first and second kind on a finite interval. In addition, as a consequence of the connection of the Markushevich boundary problem and equation in convolution of the second kind, the enough conditions for the correct solvability of the Markushevich boundary problem are obtained. This article is a continuation of the author's work «On the connection between the generalized Riemann boundary value problem and the truncated Wiener–Hopf equation», Siberian Electronic Mathematical Reports, 15 (2018), 412–421.
Keywords: ${\mathbb R}$-linear problem, problem of Markushevich, Riemann boundary value problems, factorization of matrix functions, factorization indices, stability
Mots-clés : unique, convolution equations. 
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     author = {A. F. Voronin},
     title = {A generalized {Riemann} boundary value problem and integral},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1651--1662},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a144/}
}
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A. F. Voronin. A generalized Riemann boundary value problem and integral. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1651-1662. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a144/

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