Lithuanian Mathematical Journal

, Volume 19, Issue 1, pp 140–151 | Cite as

Optimal stopping of continuous time stochastic processes and stochastic differential representations for the value functions

  • M. A. Shashiashvili


Stochastic Process Continuous Time Differential Representation Time Stochastic Process Continuous Time Stochastic Process 
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Literature Cited

  1. 1.
    C. Dellacherie, Capacities and Stochastic Processes [in Russian], Nauka, Moscow (1975).Google Scholar
  2. 2.
    A. G. Fakeev, “On optimal stopping of stochastic processes with continuous time,” Teor. Veroyatn. Ee Primen.,15, No. 2, 336–344 (1970).Google Scholar
  3. 3.
    M. E. Thompson, “Continuous parameter optimal stopping problems,” Z. Wahr. Verw. Geb.,19, 302–318 (1971).Google Scholar
  4. 4.
    A. N. Shiryaev, Statistical Sequential Analysis [in Russian], Nauka, Moscow (1976).Google Scholar
  5. 5.
    J. F. Mertens, “Théorie des processus stochastiques généraux. Applications aux surmartingales,” Z. Wahr. Verw. Geb.,22, 45–68 (1972).Google Scholar
  6. 6.
    P. A. Meyer, Probability and Potentials [Russian translation], Nauka, Moscow (1973).Google Scholar
  7. 7.
    M. H. A. Davis and P. Varaija, “Dynamic programming conditions for partially observable stochastic systems,” SIAM J. Control,11, No. 2, 226–261 (1973).Google Scholar
  8. 8.
    R. Sh. Liptser, and A. N. Shiryaev, Statistics of Stochastic Processes [in Russian], Nauka, Moscow (1974).Google Scholar
  9. 9.
    G. E. Shilov and B. L. Gurevich, Integral, Measure, and Derivative. General Theory [in Russian], Nauka, Moscow (1976).Google Scholar
  10. 10.
    P. A. Meyer, Intégrales stochastiques. In: Séminaire de probabilités, Vol. I, Springer-Verlag, Berlin (1967), pp. 72–162.Google Scholar
  11. 11.
    A. Bensoussan and J. L. Lions, “Problèmes de temps d'arrêt optimal et inequations variationnelles paraboliques,” Appl Anal.,3, No. 3, 267–294 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • M. A. Shashiashvili

There are no affiliations available

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