The inverse spectral task for a self-adjoint differential operator at a one-dimensional perturbation

Authors

  • A.N. Syrovatsky

DOI:

https://doi.org/10.15407/dopovidi2014.01.027

Keywords:

differential operator, one-dimensional perturbation, spectral task

Abstract

The case of a one-dimensional perturbation of the operator of flexon on a finite interval is studied. The inverse task of finding a perturbation by the given spectrum is solved.

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References

Levin B. Ya. Lectures on entire functions. Transl. Math. Monogr. Vol. 150. Providence, RI: Amer. Math. Soc., 1996.

Favorov S. Yu. Algebra a Analiz., 2008, 20, Iss. 1: 138–145.

Levin B. Ya. Distribution of zeros of entire functions. Moscow: GITTL, 1956 (in Russian).

Akhiezer N. I. Lectures on integral transformations. Kharkiv: Vyshcha shkola, 1984 (in Russian).

Nussensweig H. M. Causality and dispersion relations. Moscow: Mir, 1976 (in Russian).

Gakhov F. D. Boundary problems. 3th ed. Moscow: Nauka, 1977 (in Russian).

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Published

24.03.2025

How to Cite

Syrovatsky, A. (2025). The inverse spectral task for a self-adjoint differential operator at a one-dimensional perturbation . Reports of the National Academy of Sciences of Ukraine, (1), 27–32. https://doi.org/10.15407/dopovidi2014.01.027

Issue

No. 1 (2014): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

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Copyright (c) 2025 Reports of the National Academy of Sciences of Ukraine

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