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Divided Optimal Control for Parabolic-Hyperbolic Equation with Non-local Pointed Boundary Conditions and Quadratic Quality Criterion

  • Volodymyr O. Kapustyan
  • Ivan O. PyshnograievEmail author
Chapter
Part of the Understanding Complex Systems book series (UCS)

Abstract

We obtain necessary and sufficient conditions for finding the divided optimal control for parabolic-hyperbolic equations with non-local boundary conditions and general quadratic criterion in the special norm. The initial data, which guarantee the classical solvability of the problem, was drown out. The unique solvability of problem is established, systems kernels are estimated, and the convergence of solutions of the problem is proved.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  • Volodymyr O. Kapustyan
    • 1
  • Ivan O. Pyshnograiev
    • 2
    Email author
  1. 1.Igor Sikorsky Kyiv Polytechnic InstituteKyivUkraine
  2. 2.World Data Center for Geoinformatics and Sustainable DevelopmentNational Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”KyivUkraine

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