Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 1651–1662
DOI: https://doi.org/10.33048/semi.2018.15.136
(Mi semr1025)
 

This article is cited in 1 scientific paper (total in 1 paper)

Real, complex and functional analysis

A generalized Riemann boundary value problem and integral convolutions equations of the first and second kinds on a finite interval

A. F. Voronin

Sobolev Institute of Mathematics, 4, pr. Koptyuga, Novosibirsk, 630090, Russia
Full-text PDF (171 kB) Citations (1)
References:
Abstract: 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, unique, convolution equations.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences 0314-2018-0010
Received August 22, 2018, published December 14, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.544
MSC: 47A68
Language: Russian
Citation: A. F. Voronin, “A generalized Riemann boundary value problem and integral convolutions equations of the first and second kinds on a finite interval”, Sib. Èlektron. Mat. Izv., 15 (2018), 1651–1662
Citation in format AMSBIB
\Bibitem{Vor18}
\by A.~F.~Voronin
\paper A generalized Riemann boundary value problem and integral
convolutions equations of the first and second kinds on a finite
interval
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 1651--1662
\mathnet{http://mi.mathnet.ru/semr1025}
\crossref{https://doi.org/10.33048/semi.2018.15.136}
Linking options:
  • https://www.mathnet.ru/eng/semr1025
  • https://www.mathnet.ru/eng/semr/v15/p1651
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024