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A parabolic boundary-value problem and a problem of optimal control

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We establish necessary and sufficient conditions for the choice of optimal control of systems described by a parabolic boundary-value problem with restricted internal and boundary controls. The criterion of quality is represented as a sum of volume and surface integrals.

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Authors and Affiliations

  1. Fed’kovych Chernivtsi University, Chernivtsi, Ukraine

    I. D. Pukalskyi

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  1. I. D. Pukalskyi
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 4, pp. 34–41, October–December, 2009.

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Pukalskyi, I.D. A parabolic boundary-value problem and a problem of optimal control. J Math Sci 174, 159–168 (2011). https://doi.org/10.1007/s10958-011-0287-9

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  • DOI: https://doi.org/10.1007/s10958-011-0287-9

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