Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 2, Pages 449–462
DOI: https://doi.org/10.33048/smzh.2023.64.215 (Mi smj7772) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Riemann problem with a condition on the real axis for generalized analytic functions with a singular curve

P. L. Shabalin, R. R. Faizov

Kazan State University of Architecture and Engineering
Full-text PDF (335 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2023.64.215
Abstract: We study the inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis for one generalized Cauchy–Riemann equation with singular coefficient. For solving the problem, we deduce a structural formula for the general solution to the equation and carry out a complete study of the solvability of the Riemann boundary value problem of the theory of analytic functions with infinite index that appears because of the two points of rotation of logarithmic order. Furthermore, we deduce the formula of the general solution and study the existence and number of solutions to the boundary value problem for generalized analytic functions.
Keywords: Riemann problem, generalized analytic functions, infinite index, integer functions of refined zeroth order.
Received: 06.09.2022
Revised: 22.12.2022
Accepted: 10.01.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 2, Pages 431–442
DOI: https://doi.org/10.1134/S0037446623020155
Document Type: Article
UDC: 517.54
MSC: 35R30
Language: Russian
Citation: P. L. Shabalin, R. R. Faizov, “The Riemann problem with a condition on the real axis for generalized analytic functions with a singular curve”, Sibirsk. Mat. Zh., 64:2 (2023), 449–462; Siberian Math. J., 64:2 (2023), 431–442
Citation in format AMSBIB
\Bibitem{ShaFai23}
\by P.~L.~Shabalin, R.~R.~Faizov
\paper The Riemann problem with a~condition on the real axis for generalized analytic functions with a~singular curve
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 2
\pages 449--462
\mathnet{http://mi.mathnet.ru/smj7772}
\crossref{https://doi.org/10.33048/smzh.2023.64.215}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 2
\pages 431--442
\crossref{https://doi.org/10.1134/S0037446623020155}
Linking options:
  • https://www.mathnet.ru/eng/smj7772
  • https://www.mathnet.ru/eng/smj/v64/i2/p449
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024