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On Time-Optimal Problems with Lifeline

Author

Listed:
  • Nataly V. Munts

    (Krasovskii Institute of Mathematics and Mechanics, UrB RAS)

  • Sergey S. Kumkov

    (Krasovskii Institute of Mathematics and Mechanics, UrB RAS)

Abstract

This paper discusses time-optimal games with lifeline and corresponding boundary value problems for Hamilton–Jacobi equation as well. Existence of the value function for the time-optimal games with lifeline is proved. Existence of a minimax solution and its coincidence with the value function are shown.

Suggested Citation

  • Nataly V. Munts & Sergey S. Kumkov, 2019. "On Time-Optimal Problems with Lifeline," Dynamic Games and Applications, Springer, vol. 9(3), pages 751-770, September.
    • Handle: RePEc:spr:dyngam:v:9:y:2019:i:3:d:10.1007_s13235-018-00295-8
    DOI: 10.1007/s13235-018-00295-8
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