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On Time-Optimal Problems with Lifeline

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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.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, UrB RAS, Yekaterinburg, Russia

    Nataly V. Munts & Sergey S. Kumkov

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  1. Nataly V. Munts
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  2. Sergey S. Kumkov
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Correspondence to Nataly V. Munts.

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Munts, N.V., Kumkov, S.S. On Time-Optimal Problems with Lifeline. Dyn Games Appl 9, 751–770 (2019). https://doi.org/10.1007/s13235-018-00295-8

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  • DOI: https://doi.org/10.1007/s13235-018-00295-8

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