Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 8, Pages 39–45
DOI: https://doi.org/10.26907/0021-3446-2022-8-39-45 (Mi ivm9800) 		 
On the Darboux problem for a hyperbolic system of equations with multiple characteristics

A. N. Mironova, A. P. Volkovb

a Elabuga Institute of Kazan Federal University, 89 Kazanskaya str., Elabuga, 423600 Russia
b Samara State Technical University, 244 Molodogvardeyskaya str., Samara, 443100 Russia
Full-text PDF (321 kB)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2022-8-39-45
Abstract: The existence and uniqueness of the solution of a boundary value problem with conditions on one of the characteristics and on a free line for a system of hyperbolic equations with multiple characteristics are proved. Once an analogue of the Riemann–Hadamard method has been worked out for the specified problem, the definition of the Riemann–Hadamard matrix is given. The solution of this problem is constructed in terms of the introduced Riemann–Hadamard matrix.
Keywords: hyperbolic system, Riemann method, Riemann matrix, Riemann–Hadamard method, Riemann–Hadamard matrix, characteristics.
Received: 07.11.2021
Revised: 07.11.2022
Accepted: 08.04.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 8, Pages 31–36
DOI: https://doi.org/10.3103/S1066369X22080060
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. N. Mironov, A. P. Volkov, “On the Darboux problem for a hyperbolic system of equations with multiple characteristics”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 8, 39–45; Russian Math. (Iz. VUZ), 66:8 (2022), 31–36
Citation in format AMSBIB
\Bibitem{MirVol22}
\by A.~N.~Mironov, A.~P.~Volkov
\paper On the Darboux problem for a hyperbolic system of equations with multiple characteristics
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 8
\pages 39--45
\mathnet{http://mi.mathnet.ru/ivm9800}
\crossref{https://doi.org/10.26907/0021-3446-2022-8-39-45}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 8
\pages 31--36
\crossref{https://doi.org/10.3103/S1066369X22080060}
Linking options:
  • https://www.mathnet.ru/eng/ivm9800
  • https://www.mathnet.ru/eng/ivm/y2022/i8/p39
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:134
    Full-text PDF :35
    References:24
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024