On the construction of a set of stochastic differential equations on the basis of a given integral manifold independent of velocities

We construct the Lagrange equation, Hamilton equation, and Birkhoff equation on the basis of given properties of motion under random perturbations. It is assumed that random perturbation forces belong to the class of Wiener processes and that given properties of motion are independent of velocities....

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Bibliographic Details
Date:2010
Main Authors: Azhymbaev, D. T., Tleubergenov, M. I., Ажымбаев, Д. Т., Тлеубергенов, М. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2010
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2932
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal