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Stochastic processes in a finite space interval

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Literature Cited

  1. E. B. Dynkin, Markov Processes, Springer, Berlin (1965).

    Google Scholar 

  2. K. Ito and H. P. McKean, Jr., Diffusion Processes and Their Sample Paths, Springer, Berlin (1965).

    Google Scholar 

  3. I. I. Gikhman and A. V. Skorokhod, Stochastic Differential Equations [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

  4. B. Grigelionis, “Statistical problems for stochastic processes with boundary conditions,” Liet. Matem. Rink.,16, No. 1, 63–87 (1976).

    Google Scholar 

  5. P. A. Meyer, “Intégrales stochastiques,” in: Séminarie de Probabilités I (Lecture Notes in Mathematics, No. 39), Springer, Berlin-New York (1967), pp. 72–162.

    Google Scholar 

  6. B. Grigelionis, “Point processes and martingales,” Liet. Matem. Rink.,15, No. 3, 101–114 (1975).

    Google Scholar 

  7. D. A. Dawson, “Equivalence of Markov processes,” Trans. Amer. Math. Soc.,131, 1–31 (1968).

    Google Scholar 

  8. H. Kunita, “Absolute continuity of Markov processes and generators,” Nagoya Math. J.,36, 1–26 (1969).

    Google Scholar 

  9. D. W. Stroock and S. R. S. Varadhan, “Diffusion processes with boundary conditions,” Commun. Pure Appl. Math.,24, No. 2, 147–225 (1971).

    Google Scholar 

  10. S. Orey, “Conditions for the absolute continuity of two diffusions,” Trans. Amer. Math. Soc.,198, 413–426 (1974).

    Google Scholar 

  11. M. Fujisaki, G. Kallianpur, and G. Kunita, “Stochastic differential equations for the nonlinear filtering problem,” Osaka J. Math.,9, No. 1, 19–40 (1972).

    Google Scholar 

  12. H. Kunita and S. Watanabe, “On square-integrable martingales,” Nagoya Math. J.,30, 209–245 (1967).

    Google Scholar 

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Institute of Physics and Mathematics, Academy of Sciences of the Lithuanian SSR. V. Kapsukas Vilnius State University. Translated from Leituvos Matematikos Rinkinys (Litovskii Matematicheskii Sbornik), Vol. 16, No. 2, pp. 51–63, April–June, 1976.

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Grigelionis, B. Stochastic processes in a finite space interval. Lith Math J 16, 181–190 (1976). https://doi.org/10.1007/BF00969066

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  • DOI: https://doi.org/10.1007/BF00969066

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