Sibirskii Zhurnal Industrial'noi Matematiki
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. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 1, Pages 78–88
DOI: https://doi.org/10.33048/SIBJIM.2021.24.106 (Mi sjim1121) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Method of commutators for integration of a matrix Riccati equation

M. V. Neshchadimab, A. P. Chupakhinbc

a Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
c Lavrentyev Institute of Hydrodynamics SB RAS, pr. Akad. Lavrentyeva 15, Novosibirsk 630090, Russia
Full-text PDF (554 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.33048/SIBJIM.2021.24.106
Abstract: Complete integration is carried out of the matrix Riccati equation arising in continuum mechanics in the two-dimensional case. The method of commutators is used to obtain some compatibility conditions.
Keywords: a matrix Riccati equation, commutator of differential operators. .
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations III.22.4.1
I.1.5. (проект 0314-2019-0011)
The authors were supported by the Programs of Basic Research nos. III.22.4.1 and I.1.5 (project no. 0314-2019-0011) of the Siberian Branch of the Russian Academy of Sciences.
Received: 28.12.2020
Revised: 28.12.2020
Accepted: 28.12.2020
English version:
Journal of Applied and Industrial Mathematics, 2021, Volume 15, Issue 1, Pages 78–86
DOI: https://doi.org/10.1134/S1990478921010075
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. V. Neshchadim, A. P. Chupakhin, “Method of commutators for integration of a matrix Riccati equation”, Sib. Zh. Ind. Mat., 24:1 (2021), 78–88; J. Appl. Industr. Math., 15:1 (2021), 78–86
Citation in format AMSBIB
\Bibitem{NesChu21}
\by M.~V.~Neshchadim, A.~P.~Chupakhin
\paper Method of commutators for integration of a matrix Riccati equation
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 1
\pages 78--88
\mathnet{http://mi.mathnet.ru/sjim1121}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.106}
\elib{https://elibrary.ru/item.asp?id=46092044}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 1
\pages 78--86
\crossref{https://doi.org/10.1134/S1990478921010075}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85104807907}
Linking options:
  • https://www.mathnet.ru/eng/sjim1121
  • https://www.mathnet.ru/eng/sjim/v24/i1/p78
    • This publication is cited in the following 4 articles:
    1. Yu. E. Anikonov, M. V. Neschadim, A. P. Chupakhin, “Mnogomernoe uravnenie Khopfa i nekotorye ego tochnye resheniya”, Sib. zhurn. industr. matem., 25:1 (2022), 5–13  mathnet  crossref  mathscinet
    2. S. A. Vasyutkin, A. P. Chupakhin, “Postroenie minimalnogo bazisa invariantov dlya differentsialnoi algebry (2×2)-matrits”, Sib. zhurn. industr. matem., 25:2 (2022), 21–31  mathnet  crossref  mathscinet
    3. Yu. E. Anikonov, M. V. Neshchadim, A. P. Chupakhin, “Multidimensional Hopf Equation and Some of Its Exact Solutions”, J. Appl. Ind. Math., 16:1 (2022), 1  crossref
    4. S. A. Vasyutkin, A. P. Chupakhin, “Constructing a Minimal Basis of Invariants for Differential Algebra of 2×2 Matrices”, J. Appl. Ind. Math., 16:2 (2022), 356  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:243
    Full-text PDF :77
    References:38
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025