Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2017, Volume 102, Issue 2, Pages 178–185
DOI: https://doi.org/10.4213/mzm11385 (Mi mzm11385) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Dimension of the Subspace of Liouvillian Solutions of a Fuchsian System

R. R. Gontsovab

a Institute for Information Transmission Problems, Russian Academy of Sciences
b National Research University "Moscow Power Engineering Institute"
Full-text PDF (440 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm11385
Abstract: The paper deals with the problem of determining the dimension of the subspace of Liouvillian solutions of a Fuchsian system of linear differential equations in the case where this question can be answered directly in terms of the matrix of coefficients of the system.
Keywords: Fuchsian system, logarithmic connection, Piccard–Vessiot extension, differential Galois group, Liouvillian solution.
Funding agency Grant number
Russian Science Foundation 14-50-00150
This work was carried out at the Institute for Information Transmission Problems, Russian Academy of Sciences, and supported by the Russian Science Foundation under grant 14-50-00150.
Received: 21.09.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 2, Pages 149–155
DOI: https://doi.org/10.1134/S0001434617070173
Bibliographic databases:
Document Type: Article
UDC: 517.927.7
Language: Russian
Citation: R. R. Gontsov, “On the Dimension of the Subspace of Liouvillian Solutions of a Fuchsian System”, Mat. Zametki, 102:2 (2017), 178–185; Math. Notes, 102:2 (2017), 149–155
Citation in format AMSBIB
\Bibitem{Gon17}
\by R.~R.~Gontsov
\paper On the Dimension of the Subspace of Liouvillian Solutions of a Fuchsian System
\jour Mat. Zametki
\yr 2017
\vol 102
\issue 2
\pages 178--185
\mathnet{http://mi.mathnet.ru/mzm11385}
\crossref{https://doi.org/10.4213/mzm11385}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3682789}
\elib{https://elibrary.ru/item.asp?id=29833424}
\transl
\jour Math. Notes
\yr 2017
\vol 102
\issue 2
\pages 149--155
\crossref{https://doi.org/10.1134/S0001434617070173}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000413842800017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85032333622}
Linking options:
  • https://www.mathnet.ru/eng/mzm11385
  • https://doi.org/10.4213/mzm11385
  • https://www.mathnet.ru/eng/mzm/v102/i2/p178
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:505
    Full-text PDF :42
    References:44
    First page:14
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024