Trudy Moskovskogo Matematicheskogo Obshchestva
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Tr. Mosk. Mat. Obs.:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Moskovskogo Matematicheskogo Obshchestva, 2019, Volume 80, Issue 2, Pages 247–257 (Mi mmo629)  
This article is cited in 1 scientific paper (total in 1 paper)

On a class of singular Sturm–Liouville problems

A. A. Vladimirov

Institution of Russian Academy of Sciences, Dorodnicyn Computing Centre
Full-text PDF (278 kB) Citations (1)
References:
PDF
HTML
Abstract: A formally self-adjoint boundary value problem is under consideration. It corresponds to the formal differential equation $ -(y'/r)'+q{}y=p{}f$, where $ r$ and $ p$ are generalized densities of two Borel measures which do not have common atoms and $ q$ is a generalized function from some class related to the density $ r.$ A self-adjoint operator generated by this boundary value problem is defined. The main term of the spectral asymptotics is established in the case when $ r$ and $ p$ are self-similar and $ q=0.$
Key words and phrases: Sturm–Liouville problem, Sobolev space, generalized function, self-similar measure.
Funding agency Grant number
Russian Science Foundation 17-11-01215
The work has been supported by RSF (Russian Science Foundation) grant 17-11-01215.
Received: 31.05.2019
English version:
Transactions of the Moscow Mathematical Society, 2019, Volume 80, Pages 211–219
DOI: https://doi.org/10.1090/mosc/295
Bibliographic databases:
Document Type: Article
UDC: 517.984
MSC: 34B24, 34B27
Language: Russian
Citation: A. A. Vladimirov, “On a class of singular Sturm–Liouville problems”, Tr. Mosk. Mat. Obs., 80, no. 2, MCCME, M., 2019, 247–257; Trans. Moscow Math. Soc., 80 (2019), 211–219
Citation in format AMSBIB
\Bibitem{Vla19}
\by A.~A.~Vladimirov
\paper On a class of singular Sturm--Liouville problems
\serial Tr. Mosk. Mat. Obs.
\yr 2019
\vol 80
\issue 2
\pages 247--257
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo629}
\elib{https://elibrary.ru/item.asp?id=43272481}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2019
\vol 80
\pages 211--219
\crossref{https://doi.org/10.1090/mosc/295}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85083802401}
Linking options:
  • https://www.mathnet.ru/eng/mmo629
  • https://www.mathnet.ru/eng/mmo/v80/i2/p247
    • 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
    		Trudy Moskovskogo Matematicheskogo Obshchestva
    Statistics & downloads:
    Abstract page:189
    Full-text PDF :51
    References:25
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024