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Matematicheskie Zametki, 2018, Volume 103, Issue 1, Pages 65–74
DOI: https://doi.org/10.4213/mzm11379 (Mi mzm11379) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Inverse Scattering Problems for Sturm–Liouville Operators with Spectral Parameter Dependent on Boundary Conditions

Ying Yang, Guangsheng Wei

Shaanxi Normal University
Full-text PDF (480 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm11379
Abstract: In this paper, we consider the inverse scattering problem for the Sturm–Liouville operator on the half-line $[0,\infty)$ with Herglotz function of spectral parameter in the boundary condition. The scattering data of the problem is defined, and its properties are investigated. The main equation is obtained for the solution of the inverse problem and it is shown that the potential is uniquely recovered in terms of the scattering data.
Keywords: Sturm–Liouville operator, inverse problem, scattering data, spectral parameter.
Funding agency Grant number
National Natural Science Foundation of China 11571212
Fundamental Research Funds for the Central Universities of China 201401004
Received: 07.07.2016
English version:
Mathematical Notes, 2018, Volume 103, Issue 1, Pages 59–66
DOI: https://doi.org/10.1134/S0001434618010078
Bibliographic databases:
Document Type: Article
UDC: 517.5+519.213
Language: Russian
Citation: Ying Yang, Guangsheng Wei, “Inverse Scattering Problems for Sturm–Liouville Operators with Spectral Parameter Dependent on Boundary Conditions”, Mat. Zametki, 103:1 (2018), 65–74; Math. Notes, 103:1 (2018), 59–66
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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