Bulletin of Irkutsk State University. Series Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Bulletin of Irkutsk State University. Series Mathematics:
Year:
Volume:
Issue:
Page:
Find






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


Bulletin of Irkutsk State University. Series Mathematics, 2023, Volume 45, Pages 145–151
DOI: https://doi.org/10.26516/1997-7670.2023.45.145
(Mi iigum540)
 

Short Papers

On the representation of the Goursat boundary problem solution for the first order partial derivatives stochastic hyperbolic equations

K. B. Mansimovab, R. O. Mastaliyevac

a Institute of Control Systems, Baku, Azerbaijan
b Baku State University, Baku, Azerbaijan
c Azerbaijan University, Baku, Azerbaijan
References:
Abstract: We study the standard canonical form of a stochastic analog of a system of linear partial differential equations of first order hyperbolic type with Goursat boundary conditions. The stochastic analogue of the Riemann matrix in block form is introduced, an integral representation of the solution of the boundary value problem under consideration is obtained in an explicit integral form in terms of boundary conditions.
Keywords: linear inhomogeneous stochastic Goursat system, stochastic boundary value problem, Wiener process, explicit representation of the solution.
Received: 18.01.2023
Revised: 23.05.2023
Accepted: 30.05.2023
Document Type: Article
UDC: 517.956.3: 519.2
MSC: 60H15
Language: Russian
Citation: K. B. Mansimov, R. O. Mastaliyev, “On the representation of the Goursat boundary problem solution for the first order partial derivatives stochastic hyperbolic equations”, Bulletin of Irkutsk State University. Series Mathematics, 45 (2023), 145–151
Citation in format AMSBIB
\Bibitem{ManMas23}
\by K.~B.~Mansimov, R.~O.~Mastaliyev
\paper On the representation of the Goursat boundary problem solution for the first order partial derivatives stochastic hyperbolic equations
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2023
\vol 45
\pages 145--151
\mathnet{http://mi.mathnet.ru/iigum540}
\crossref{https://doi.org/10.26516/1997-7670.2023.45.145}
Linking options:
  • https://www.mathnet.ru/eng/iigum540
  • https://www.mathnet.ru/eng/iigum/v45/p145
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:65
    Full-text PDF :34
    References:16
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024