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Problem of Optimal Control for Parabolic-Hyperbolic Equations with Nonlocal Point Boundary Conditions and Semidefinite Quality Criterion

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Ukrainian Mathematical Journal Aims and scope

We consider a problem of optimal control for parabolic-hyperbolic equations with nonlocal boundary conditions and semidefinite quality criterion. The optimality conditions are constructed by reducing the problem to a sequence of one-dimensional problems, the optimal control is obtained in a closed form, and its convergence is proved. The form of the quality criterion is substantiated.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 8, pp. 1068–1081, August, 2016.

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Kapustyan, V.E., Pyshnograev, I.A. Problem of Optimal Control for Parabolic-Hyperbolic Equations with Nonlocal Point Boundary Conditions and Semidefinite Quality Criterion. Ukr Math J 67, 1204–1218 (2016). https://doi.org/10.1007/s11253-016-1146-0

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  • DOI: https://doi.org/10.1007/s11253-016-1146-0

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