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Izvestiya: Mathematics, 2001, Volume 65, Issue 5, Pages 1003–1016
DOI: https://doi.org/10.1070/IM2001v065n05ABEH000360 (Mi im360) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic formulae for the real eigenvalues of the Sturm–Liouville problem with two turning points

S. N. Tumanov
English version PDF (191 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2001v065n05ABEH000360
Abstract: We consider the asymptotic behavior of the real spectrum of the indefinite Sturm-Liouville problem for large values of the spectral parameter and prove the existence of infinitely many asymptotic terms under the condition that the coefficients of the equation are analytic.
Received: 01.08.2000
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 5, Pages 153–166
DOI: https://doi.org/10.4213/im360
Bibliographic databases:
MSC: 34A12, 34A20, 41A60, 34C05, 34E5, 34E20, 34E99
Language: English
Original paper language: Russian
Citation: S. N. Tumanov, “Asymptotic formulae for the real eigenvalues of the Sturm–Liouville problem with two turning points”, Izv. RAN. Ser. Mat., 65:5 (2001), 153–166; Izv. Math., 65:5 (2001), 1003–1016
Citation in format AMSBIB
\Bibitem{Tum01}
\by S.~N.~Tumanov
\paper Asymptotic formulae for the real eigenvalues of the Sturm--Liouville problem with two turning points
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 5
\pages 153--166
\mathnet{http://mi.mathnet.ru/im360}
\crossref{https://doi.org/10.4213/im360}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1874357}
\zmath{https://zbmath.org/?q=an:1036.34096}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 5
\pages 1003--1016
\crossref{https://doi.org/10.1070/IM2001v065n05ABEH000360}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-4344698805}
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  • https://doi.org/10.1070/IM2001v065n05ABEH000360
  • https://www.mathnet.ru/eng/im/v65/i5/p153
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:468
    Russian version PDF:1162
    English version PDF:21
    References:55
    First page:1
     
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