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Sbornik: Mathematics, 2011, Volume 202, Issue 7, Pages 1071–1083
DOI: https://doi.org/10.1070/SM2011v202n07ABEH004178 (Mi sm7674) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The inverse scattering problem for a discrete Sturm-Liouville equation on the line

A. Kh. Khanmamedovab

a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
English version PDF (322 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2011v202n07ABEH004178
Abstract: This paper investigates the inverse scattering problem for a discrete Sturm-Liouville equation on the entire line with coefficients that stabilize to zero in one direction. We derive a necessary and a sufficient condition on the scattering data so that the inverse problem is uniquely solvable.
Bibliography: 23 titles.
Keywords: the inverse spectral problem, Jacobi operators, scattering problem, Weyl function.
Received: 24.12.2009 and 30.03.2011
Russian version:
Matematicheskii Sbornik, 2011, Volume 202, Number 7, Pages 147–160
DOI: https://doi.org/10.4213/sm7674
Bibliographic databases:
Document Type: Article
UDC: 517.984.64
MSC: 34L25, 81U40
Language: English
Original paper language: Russian
Citation: A. Kh. Khanmamedov, “The inverse scattering problem for a discrete Sturm-Liouville equation on the line”, Mat. Sb., 202:7 (2011), 147–160; Sb. Math., 202:7 (2011), 1071–1083
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2011v202n07ABEH004178
  • https://www.mathnet.ru/eng/sm/v202/i7/p147
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:680
    Russian version PDF:261
    English version PDF:22
    References:92
    First page:56
     
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