Geodesic
The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator
Journal of computational and engineering mathematics, Tome 2 (2015) no. 4, pp. 95-99

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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. 
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     author = {G. A. Zakirova and E. V. Kirillov},
     title = {The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator},
     journal = {Journal of computational and engineering mathematics},
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     publisher = {mathdoc},
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G. A. Zakirova; E. V. Kirillov. The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator. Journal of computational and engineering mathematics, Tome 2 (2015) no. 4, pp. 95-99. http://geodesic.mathdoc.fr/item/JCEM_2015_2_4_a9/