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This article is cited in 4 scientific papers (total in 4 papers)
Computational Mathematics
The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator
G. A. Zakirova, E. V. Kirillov South Ural State University, Chelyabinsk, Russian Federation
Abstract:
Inverse spectral problems have many applications in engineering and physics. It was investigated for a variety of tasks specific operators. In this article explores the inverse spectral problem for abstract discrete self-adjoint semi-bounded from below operator. Using the resolvent method and principle of the contraction mapping theorem of the existence of the inverse problem solution is proved.
Keywords:
perturbed operator, discrete self-adjoint operator, potential.
Received: 29.11.2015
Citation:
G. A. Zakirova, E. V. Kirillov, “The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator”, J. Comp. Eng. Math., 2:4 (2015), 95–99
Linking options:
https://www.mathnet.ru/eng/jcem33 https://www.mathnet.ru/eng/jcem/v2/i4/p95
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Abstract page: | 182 | Full-text PDF : | 66 | References: | 83 |
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