Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 9, Pages 1575–1579 (Mi zvmmf594)  
This article is cited in 1 scientific paper (total in 2 paper)

On a method for solving the nonlinear eigenvalue problem for a differential algebraic system of equations

A. A. Abramova, V. I. Ul'yanovaa, L. F. Yukhnob

a Dorodnicyn Computational Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
b Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
Full-text PDF (796 kB) Citations (2)
References:
PDF
HTML
Abstract: For a linear differential algebraic system of equations, a method for determining the number of eigenvalues in a neighborhood of a given complex scalar is proposed and examined. It is assumed that the coefficients of the system and the entries in the matrices of the boundary conditions depend analytically on the spectral parameter. Constructions typical for the argument principle are employed, although the functions arising in the proposed method are not analytic.
Key words: differential algebraic equation, nonlinear eigenvalue problem.
Received: 21.12.2004
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On a method for solving the nonlinear eigenvalue problem for a differential algebraic system of equations”, Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005), 1575–1579; Comput. Math. Math. Phys., 45:9 (2005), 1520–1524
Citation in format AMSBIB
\Bibitem{AbrUlyYuk05}
\by A.~A.~Abramov, V.~I.~Ul'yanova, L.~F.~Yukhno
\paper On a method for solving the nonlinear eigenvalue problem for a differential algebraic system of equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 9
\pages 1575--1579
\mathnet{http://mi.mathnet.ru/zvmmf594}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2216068}
\zmath{https://zbmath.org/?q=an:1097.34512}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 9
\pages 1520--1524
Linking options:
  • https://www.mathnet.ru/eng/zvmmf594
  • https://www.mathnet.ru/eng/zvmmf/v45/i9/p1575
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:255
    Full-text PDF :103
    References:43
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024