Ukrainian Mathematical Journal

, Volume 67, Issue 8, pp 1204–1218 | Cite as

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

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

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.


Optimality Condition Closed Form Quality Criterion Homogeneous Case Discontinuous Function 
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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • V. E. Kapustyan
    • 1
  • I. A. Pyshnograev
    • 1
  1. 1.“Kyiv Polytechnic Institute” Ukrainian National Technical UniversityKyivUkraine

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