Trudy Seminara imeni I. G. Petrovskogo
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Tr. Semim. im. I. G. Petrovskogo:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Seminara imeni I. G. Petrovskogo, 2019, Issue 32, Pages 162–190 (Mi tsp106)  
This article is cited in 6 scientific papers (total in 6 papers)

Estimates for the first eigenvalue of the Sturm–Liouville problem with potentials in weighted spaces

S. S. Ezhak, M. Yu. Telnova
Full-text PDF (223 kB) Citations (6)
References:
PDF
HTML
Abstract: We consider the Sturm–Liouville problem on the interval $[0,1]$ with the Dirichlet boundary conditions and a weighted integral condition on the potential function, which allows the potential to have singularities of different orders at the end-points. For some values of the parameters of the weight functions, estimates are obtained for the first eigenvalue of this problem, and a method is proposed for finding precise bounds for this eigenvalue in some cases.
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 244, Issue 2, Pages 216–234
DOI: https://doi.org/10.1007/s10958-019-04615-0
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: S. S. Ezhak, M. Yu. Telnova, “Estimates for the first eigenvalue of the Sturm–Liouville problem with potentials in weighted spaces”, Tr. Semim. im. I. G. Petrovskogo, 32, 2019, 162–190; J. Math. Sci. (N. Y.), 244:2 (2020), 216–234
Citation in format AMSBIB
\Bibitem{EzhTel19}
\by S.~S.~Ezhak, M.~Yu.~Telnova
\paper Estimates for the first eigenvalue of the Sturm--Liouville problem with potentials in weighted spaces
\serial Tr. Semim. im. I.~G.~Petrovskogo
\yr 2019
\vol 32
\pages 162--190
\mathnet{http://mi.mathnet.ru/tsp106}
\elib{https://elibrary.ru/item.asp?id=43215005}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2020
\vol 244
\issue 2
\pages 216--234
\crossref{https://doi.org/10.1007/s10958-019-04615-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075914765}
Linking options:
  • https://www.mathnet.ru/eng/tsp106
  • https://www.mathnet.ru/eng/tsp/v32/p162
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:154
    Full-text PDF :47
    References:27
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024