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, 2008, Volume 48, Number 6, Pages 999–1002 (Mi zvmmf4575)  
This article is cited in 4 scientific papers (total in 4 papers)

Nonlinear eigenvalue problem for second-order Hamiltonian systems

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

a Dorodnitsyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
b Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
Full-text PDF (577 kB) Citations (4)
References:
PDF
HTML
Abstract: The nonlinear self-adjoint eigenvalue problem for a Hamiltonian system of two ordinary differential equations is examined under the assumption that the matrix of the system is a monotone function of the spectral parameter. Certain properties of eigenvalues that were previously established by the authors for Hamitonian systems of arbitrary order are now worked out in detail and made more precise for the above system. In particular, a single second-order ordinary differential equation is analyzed.
Key words: Hamiltonian system of ordinary differential equations, eigenvalue problem, eigenvalues, eigenfunctions.
Received: 19.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 6, Pages 942–945
DOI: https://doi.org/10.1134/S0965542508060067
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “Nonlinear eigenvalue problem for second-order Hamiltonian systems”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008), 999–1002; Comput. Math. Math. Phys., 48:6 (2008), 942–945
Citation in format AMSBIB
\Bibitem{AbrUlyYuk08}
\by A.~A.~Abramov, V.~I.~Ul'yanova, L.~F.~Yukhno
\paper Nonlinear eigenvalue problem for second-order Hamiltonian systems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2008
\vol 48
\issue 6
\pages 999--1002
\mathnet{http://mi.mathnet.ru/zvmmf4575}
\zmath{https://zbmath.org/?q=an:1164.34323}
\transl
\jour Comput. Math. Math. Phys.
\yr 2008
\vol 48
\issue 6
\pages 942--945
\crossref{https://doi.org/10.1134/S0965542508060067}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262334200006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-45749085310}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf4575
  • https://www.mathnet.ru/eng/zvmmf/v48/i6/p999
    • This publication is cited in the following 4 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:322
    Full-text PDF :108
    References:59
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024