Trudy Seminara imeni I. G. Petrovskogo
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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)
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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}
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    • 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
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    References:17
     
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