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Phase averaging of nonhomogeneous semi-Markov random evolutions. (English. Russian original) Zbl 0716.60098

Ukr. Math. J. 41, No. 2, 147-153 (1989); translation from Ukr. Mat. Zh. 41, No. 2, 163-170 (1989).
See the review in Zbl 0678.60085.

MSC:

60K15 Markov renewal processes, semi-Markov processes
60F05 Central limit and other weak theorems
93E03 Stochastic systems in control theory (general)

Citations:

Zbl 0678.60085
Full Text: DOI

References:

[1] V. S. Korolyuk and A. V. Svishchuk, ?Limit theorems for semi-Markov random evolutions in the scheme of an asymptotic phase extension,? Preprint 84.16, Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev (1984).
[2] A. V. Svishchuk, ?Limit theorems for semi-Markov random evolutions in the scheme of an asymptotic phase extension,? Candidate’s Dissertation, Kiev (1985).
[3] V. S. Korolyuk and A. F. Turbin, The Mathematical Foundations of Phase Extension of Complex Systems [in Russian], Naukova Dumka, Kiev (1978). · Zbl 0411.60003
[4] S. G. Krein and M. I. Khazan, ?Differential equations in Banach space,? J. Sov. Math.,34, No. 3 (1986). · Zbl 0611.34059
[5] V. S. Korolyuk and A. F. Turbin, Semi-Markov Processes and Their Applications [in Russian], Naukova Dumka, Kiev (1976). · Zbl 0371.60106
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