Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find






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


Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 2, Pages 11–22
DOI: https://doi.org/10.4213/faa2898
(Mi faa2898)
 

This article is cited in 4 scientific papers (total in 5 papers)

On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm–Liouville Operator

R. S. Ismagilova, A. G. Kostyuchenkob

a N. E. Bauman Moscow State Technical University
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (217 kB) Citations (5)
References:
Abstract: On the half-line, we consider a vector Sturm–Liouville operator with a potential that is unbounded below. Asymptotic formulas for the spectrum are given. These formulas involve the eigenvalues of the matrix potential as well as the “rotational velocities” of the eigenvectors.
Keywords: Sturm–Liouville operator, spectrum, asymptotics.
Received: 12.01.2008
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 2, Pages 89–97
DOI: https://doi.org/10.1007/s10688-008-0014-6
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: R. S. Ismagilov, A. G. Kostyuchenko, “On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm–Liouville Operator”, Funktsional. Anal. i Prilozhen., 42:2 (2008), 11–22; Funct. Anal. Appl., 42:2 (2008), 89–97
Citation in format AMSBIB
\Bibitem{IsmKos08}
\by R.~S.~Ismagilov, A.~G.~Kostyuchenko
\paper On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm--Liouville Operator
\jour Funktsional. Anal. i Prilozhen.
\yr 2008
\vol 42
\issue 2
\pages 11--22
\mathnet{http://mi.mathnet.ru/faa2898}
\crossref{https://doi.org/10.4213/faa2898}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2438014}
\zmath{https://zbmath.org/?q=an:1168.47037}
\elib{https://elibrary.ru/item.asp?id=11161687}
\transl
\jour Funct. Anal. Appl.
\yr 2008
\vol 42
\issue 2
\pages 89--97
\crossref{https://doi.org/10.1007/s10688-008-0014-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000257324700002}
\elib{https://elibrary.ru/item.asp?id=13592945}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-46249089515}
Linking options:
  • https://www.mathnet.ru/eng/faa2898
  • https://doi.org/10.4213/faa2898
  • https://www.mathnet.ru/eng/faa/v42/i2/p11
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:727
    Full-text PDF :268
    References:86
    First page:23
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024