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On Spectral Problems in the Theory of Control of Vibrations of a Loaded Chain

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Abstract

Two spectral problems for the zero and first order Bessel equations with one characteristic equation are considered. One problem contains a spectral parameter in the boundary condition, and the other does not contain a spectral parameter in the boundary conditions.

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ACKNOWLEDGMENTS

The author is grateful to Acad. E.I. Moiseev for his interest in this work.

Funding

The work was supported by the Ministry of Science and Higher Education of the Russian Federation within the framework of the program of the Moscow Center for Fundamental and Applied Mathematics under agreement no. 075-15-2022-284 and with partial financial support from the Russian Foundation for Basic Research, project 20-51-18006 Bolg-a).

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    N. Yu. Kapustin

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  1. N. Yu. Kapustin
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Correspondence to N. Yu. Kapustin.

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Translated by V. Potapchouck

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Kapustin, N.Y. On Spectral Problems in the Theory of Control of Vibrations of a Loaded Chain. Diff Equat 58, 1563–1565 (2022). https://doi.org/10.1134/S0012266122011012X

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  • DOI: https://doi.org/10.1134/S0012266122011012X

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