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An Algorithm of the Solution of an Optimal Control Problem for Elliptic Equations

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Abstract

In this paper, we discuss optimal control problems whose behavior is described by elliptic equations with Bitsadze–Samarski nonlocal boundary conditions. A necessary and sufficient optimality condition is given. The existence and uniqueness of a solution of the conjugate problem are proved. A numerical method of solution of an optimal problem by means of the Mathcad package is presented.

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Authors and Affiliations

  1. Batumi Shota Rustaveli State University, Batumi, Georgia

    D. Devadze & V. Beridze

Authors
  1. D. Devadze
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  2. V. Beridze
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Correspondence to D. Devadze.

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 90, Differential Equations and Mathematical Analysis, 2014.

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Devadze, D., Beridze, V. An Algorithm of the Solution of an Optimal Control Problem for Elliptic Equations. J Math Sci 208, 635–641 (2015). https://doi.org/10.1007/s10958-015-2472-8

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  • DOI: https://doi.org/10.1007/s10958-015-2472-8

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