Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anulova S. V., Diffusion process with singular characteristics, International symposium on stochastic differential equations, Vilnius, 1978, pp. 7–11.
Anulova S. V., Diffusion processes: discontinuous coefficients, degenerated diffusion, randomized drift, Dokl. AN SSSR, 1981, v. 260, N. 5, pp. 1036–1040.
Dynkin E. B., On the extension of the Markov process, Theory of Probab. Appl., 1968, v. 13, N. 4, pp. 708–713.
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.
Kopytko B. I., Pasting together of Brownian motion processes, In random processes in problems of mathematical physics, Kiev, 1979, pp. 94–106.
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.
Kopytko B. I., Non-homogeneous diffusion processes with generalized drift, In Probabilistic Infinite-Dimensional Analysis, Kiev, 1981, pp. 59–74.
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.
Portenko N. I., Diffusion processes with generalized drift, Theory Probab. Appl. 1979, v. 26, N. 1, pp. 62–77.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0072928
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12718-5
Online ISBN: 978-3-540-38701-5
eBook Packages: Springer Book Archive