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

  • V. E. Kapustyan
  • I. A. Pyshnograev

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.
Published
25.08.2015
How to Cite
KapustyanV. E., and PyshnograevI. A. “Problem of Optimal Control for Parabolic-Hyperbolic Equations With Nonlocal Point Boundary Conditions and Semidefinite Quality Criterion”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 8, Aug. 2015, pp. 1068-81, http://umj.imath.kiev.ua/index.php/umj/article/view/2046.
Section
Research articles