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Differential Games with Partial Differential Equations

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The Theory and Application of Differential Games

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Abstract

Examples of differential games are given, where the state equation is a partial differential equation. They can be solved explicitly and show clearly how the values of the control functions enter in the solution. This enables us to set up a method of solving these games, which should also be applied to more complicated differential games, complementing known results about existence of solutions from the general theory.

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References

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Author information

Author notes

  1. Emilio O. Roxin

    Present address: University of Würzburg, Germany

Authors and Affiliations

  1. Department of Mathematics, University of Rhode Island, Kingston, R.I., 02881, USA

    Emilio O. Roxin

Authors
  1. Emilio O. Roxin
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Editor information

Editors and Affiliations

  1. Control Theory Centre, Department of Engineering, University of Warwick, CV4 7AL, Coventry, England

    J. D. Grote

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© 1975 D. Reidel Publishing Company, Dordrecht-Holland

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Roxin, E.O. (1975). Differential Games with Partial Differential Equations. In: Grote, J.D. (eds) The Theory and Application of Differential Games. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1804-3_14

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  • DOI: https://doi.org/10.1007/978-94-010-1804-3_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1806-7

  • Online ISBN: 978-94-010-1804-3

  • eBook Packages: Springer Book Archive

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