2017
Том 69
№ 9

All Issues

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

Kapustyan V. E., Pyshnograev I. A.


Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 8, pp 1204-1218.

Citation Example: Kapustyan V. E., Pyshnograev I. A. Problem of Optimal Control for Parabolic-Hyperbolic Equations with Nonlocal Point Boundary Conditions and Semidefinite Quality Criterion // Ukr. Mat. Zh. - 2015. - 67, № 8. - pp. 1068-1081.