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Liapounov's theorem on the range of a vector measure and Pontryagin's maximum principle

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References

  1. Boltyanskii, V. G., R. V. Gamkrelize & L. S. Pontryagin: The theory of optimal processes. Izvestia Akad. Nauk SSSR, Ser. Mat. 24, No. 1 (1960) [in Russian].

  2. Liapounov, A.: Sur les fonctions-vecteurs complètement additives. Bull. Acad. Sci. U.R.S.S. 4 (1940) [in Russian with a French résumé].

  3. Halkin, H.: The Principle of Optimal Evolution, in Contributions to the Theory of Differential Equations, vol. III. New York: MacMillan 1962.

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Authors and Affiliations

  1. Université de Liège, Liège

    Hubert Halkin

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  1. Hubert Halkin
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Communicated by M. M. Schiffer

The stay of Hubert Halkin at Stanford University is made possible through a C.R.B. Graduate Fellowship (Perrin C. Galpin Fellow 1960–1961) for which he thanks the Belgian-American Educational Foundation.

This research was supported in part by the office of Naval Research Contract Number 225 (11).

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Halkin, H. Liapounov's theorem on the range of a vector measure and Pontryagin's maximum principle. Arch. Rational Mech. Anal. 10, 296–304 (1962). https://doi.org/10.1007/BF00281196

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  • DOI: https://doi.org/10.1007/BF00281196

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