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, 2020, Number 6, Pages 15–20
DOI: https://doi.org/10.26907/0021-3446-2020-6-15-20 (Mi ivm9578) 		 
The Goursat and Cauchy problems for three-dimensional Bianchi equation

V. I. Zhegalova, L. B. Mironovab

a Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
b Kazan Federal University, Yelabyga Institute, 89 Kazanskaya str., Yelabyga, 423600 Russia
Full-text PDF (281 kB)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2020-6-15-20
Abstract: For the coefficient inverse Goursat and Cauchy problems with an additional search for the coefficients of the equation, a new approach to the allocation of solvability cases of these problems in quadratures is proposed. Instead of introducing additional boundary conditions, restrictions on the structure of the equation associated with the possibilities of its factorization are proposed.
Keywords: Goursat problem, Cauchy problem, factorization, Riemann function, solvability in quadratures.
Received: 03.06.2019
Revised: 03.06.2019
Accepted: 25.09.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 6, Pages 11–15
DOI: https://doi.org/10.3103/S1066369X20060031
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: V. I. Zhegalov, L. B. Mironova, “The Goursat and Cauchy problems for three-dimensional Bianchi equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6, 15–20; Russian Math. (Iz. VUZ), 64:6 (2020), 11–15
Citation in format AMSBIB
\Bibitem{ZheMir20}
\by V.~I.~Zhegalov, L.~B.~Mironova
\paper The Goursat and Cauchy problems for three-dimensional Bianchi equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2020
\issue 6
\pages 15--20
\mathnet{http://mi.mathnet.ru/ivm9578}
\crossref{https://doi.org/10.26907/0021-3446-2020-6-15-20}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2020
\vol 64
\issue 6
\pages 11--15
\crossref{https://doi.org/10.3103/S1066369X20060031}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000556993500003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85089032094}
Linking options:
  • https://www.mathnet.ru/eng/ivm9578
  • https://www.mathnet.ru/eng/ivm/y2020/i6/p15
    • 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)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025