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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Datum:2010
Hauptverfasser: Azhymbaev, D. T., Tleubergenov, M. I., Ажымбаев, Д. Т., Тлеубергенов, М. И.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/2932
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal