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Analytical methods of pasting together of diffusion processes

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Probability Theory and Mathematical Statistics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1021))

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References

  1. Anulova S. V., Diffusion process with singular characteristics, International symposium on stochastic differential equations, Vilnius, 1978, pp. 7–11.

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  2. Anulova S. V., Diffusion processes: discontinuous coefficients, degenerated diffusion, randomized drift, Dokl. AN SSSR, 1981, v. 260, N. 5, pp. 1036–1040.

    MathSciNet  Google Scholar 

  3. Dynkin E. B., On the extension of the Markov process, Theory of Probab. Appl., 1968, v. 13, N. 4, pp. 708–713.

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  4. Kamynin L. I., On the existence of the solution of the boundary problems for the parabolic equation with discontinuous coefficients, Izv. AN SSSR, ser. mathemat., 1964, N. 4, pp. 721–744.

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  5. Kopytko B. I., Pasting together of Brownian motion processes, In random processes in problems of mathematical physics, Kiev, 1979, pp. 94–106.

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  6. Kopytko B. I., Pasting together of two diffusion processes on the line, In Probability Methods in the infinite-dimensional Analysis, Kiev, 1980, pp. 84–101.

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  7. Kopytko B. I., Non-homogeneous diffusion processes with generalized drift, In Probabilistic Infinite-Dimensional Analysis, Kiev, 1981, pp. 59–74.

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  8. Motoo M., Application of additive functionals to the boundary problem of Markov processes (Levy's system of U-processes), Proc. 5-th Berkeley Sympos. Math. Statist. and Prob., II, Part 2, 1967, pp. 75–110.

    MathSciNet  Google Scholar 

  9. Portenko N. I., Diffusion processes with generalized drift, Theory Probab. Appl. 1979, v. 26, N. 1, pp. 62–77.

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© 1983 Springer-Verlag Berlin Heidelberg

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Kopytko, B.I., Portenko, N.I. (1983). Analytical methods of pasting together of diffusion processes. In: Prokhorov, J.V., Itô, K. (eds) Probability Theory and Mathematical Statistics. Lecture Notes in Mathematics, vol 1021. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072928

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  • DOI: https://doi.org/10.1007/BFb0072928

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  • Print ISBN: 978-3-540-12718-5

  • Online ISBN: 978-3-540-38701-5

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