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Existence of a Solution to a System of Equations in Variations in an Optimal Control Problem

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Abstract

We consider an optimal control problem for some mathematical problem of a chemical reactor. We prove the existence of a solution to the system in variations which arises in deriving a necessary optimality condition in the form of the Pontryagin Maximum Principle.

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Authors and Affiliations

  1. Kokshetau State University, Kokshetau, 020000, Kazakhstan

    K. S. Musabekov

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  1. K. S. Musabekov
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Correspondence to K. S. Musabekov.

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Translated by Ya.A. Kopylov

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Musabekov, K.S. Existence of a Solution to a System of Equations in Variations in an Optimal Control Problem. J. Appl. Ind. Math. 15, 62–77 (2021). https://doi.org/10.1134/S1990478921010063

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  • DOI: https://doi.org/10.1134/S1990478921010063

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