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Boundary Control Problem for a Loaded String Vibration Equation

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Abstract

A boundary control problem is studied for a model loaded equation of the hyperbolic type. Necessary and sufficient conditions on the initial and terminal functions ensuring the existence of boundary controls are established. Under these conditions, an explicit analytical form of the desired controls is found.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center, Russian Academy of Sciences, Nalchik, Kabardino-Balkar Republic, 360000, Russia

    A. Kh. Attaev

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  1. A. Kh. Attaev
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Correspondence to A. Kh. Attaev.

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Translated by V. Potapchouck

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Attaev, A.K. Boundary Control Problem for a Loaded String Vibration Equation. Diff Equat 56, 635–640 (2020). https://doi.org/10.1134/S0012266120050080

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  • DOI: https://doi.org/10.1134/S0012266120050080

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