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Ufa Mathematical Journal, 2013, Volume 5, Issue 4, Pages 112–124
DOI: https://doi.org/10.13108/2013-5-4-112
(Mi ufa227)
 

This article is cited in 14 scientific papers (total in 14 papers)

On inverse nodal problem for Sturm-Liouville operator

A. Yu. Trynin

Saratov State University, Saratov, Russia
References:
Abstract: In this paper we propose a solution to a certain inverse Sturm-Liouville problem, which allows one to determine the potential and the boundary conditions of the differential operator on the values of one of the differentials of Gateaux zeroes $ x_ {k, n} [q ] \in (0, \pi) $ of some eigenfunction $ \hat y (x, q, \lambda_n [q]) $ for an increment $ w $ from the set $ \mathbb W $. As $ \mathbb W $, we consider some sets of classical and generalized functions.
Keywords: eigenfunction of Sturm-Liouville problem, nodal points of Sturm-Liouville problem, Gateaux differential, inverse Sturm-Liouville problem, inverse nodal problem, nodal points.
Received: 15.04.2013
Bibliographic databases:
Document Type: Article
UDC: 517.927
MSC: 34A55
Language: English
Original paper language: Russian
Citation: A. Yu. Trynin, “On inverse nodal problem for Sturm-Liouville operator”, Ufa Math. J., 5:4 (2013), 112–124
Citation in format AMSBIB
\Bibitem{Try13}
\by A.~Yu.~Trynin
\paper On inverse nodal problem for Sturm-Liouville operator
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 4
\pages 112--124
\mathnet{http://mi.mathnet.ru/eng/ufa227}
\crossref{https://doi.org/10.13108/2013-5-4-112}
\elib{https://elibrary.ru/item.asp?id=20930482}
Linking options:
  • https://www.mathnet.ru/eng/ufa227
  • https://doi.org/10.13108/2013-5-4-112
  • https://www.mathnet.ru/eng/ufa/v5/i4/p116
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Уфимский математический журнал
    Statistics & downloads:
    Abstract page:547
    Russian version PDF:236
    English version PDF:34
    References:98
    First page:2
     
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