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Stochastic dynamics and Boltzmann hierarchy. I

Stochastic dynamics corresponding to the Boltzmann hierarchy is constructed. The Liouville-Itô equations are obtained, from which we derive the Boltzmann hierarchy regarded as an abstract evolution equation. We construct the semigroup of evolution operators and prove the existence of solutions of th...

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Bibliographic Details
Date:	1998
Main Authors:	Petrina, D. Ya., Petrina, К. D., Петрина, Д. Я., Петрина, К. Д.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4955
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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