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On the Isaacs equation of differential games of fixed duration

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Abstract

The conditions under which the value function of fixed-duration differential games satisfies the Isaacs equation are relaxed.

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References

  1. Berkovitz, L. D.,The Existence of Value and Saddle Point in Games of Fixed Duration, SIAM Journal on Control and Optimization, Vol. 23, pp. 172–196, 1985.

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  2. Bruckner, A. M.,Differentiation of Real Functions, Springer-Verlag, Berlin, Germany, 1978.

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  3. Saks, S.,Theory of the Integral, 2nd Revised Edition, G. E. Stechert, New York, New York, 1937.

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Authors and Affiliations

  1. Department of Mathematics, Purdue University, Lafayette, Indiana

    J. Yong (Graduate Student)

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  1. J. Yong
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Additional information

Communicated by L. D. Berkovitz

The author thanks Professor L. D. Berkovitz for posing the problem.

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Yong, J. On the Isaacs equation of differential games of fixed duration. J Optim Theory Appl 50, 359–364 (1986). https://doi.org/10.1007/BF00939278

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  • DOI: https://doi.org/10.1007/BF00939278

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