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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
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
Citation:
A. Kh. Khanmamedov, “The inverse scattering problem for a discrete Sturm-Liouville equation on the line”, Sb. Math., 202:7 (2011), 1071–1083
Linking options:
https://www.mathnet.ru/eng/sm7674https://doi.org/10.1070/SM2011v202n07ABEH004178 https://www.mathnet.ru/eng/sm/v202/i7/p147
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