Construction of a functional by a given second-order Ito stochastic equation

In this article, we consider the problem of extending Hamilton’s principle to the class of natural mechanical systems with random perturbing forces of white noise type. By the method of moment functions, we construct the functionals taking a stationary value on the solutions of a given stochastic eq...

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Bibliographic Details
Main Authors: Tleubergenov Marat, Vassilina Gulmira, Ismailova Shakhmira
Format: Article
Language:English
Published: De Gruyter 2023-12-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2023-0148