On the Solvability of Stochastic Helmholtz Problem

Tleubergenov M.I. Azhymbaev D.T.
February 2021 Springer

Journal of Mathematical Sciences (United States)
2021 #253 Issue 2 297 - 305 pp.

We consider inverse problems for differential systems in the presence of random perturbations. By the method of additional variables, we establish sufficient conditions for the representation of stochastic differential equations of the second order in the form of stochastic Lagrange equations, as well as for the representation of stochastic differential equations of the first order in the form of stochastic canonical equations. The obtained results are illustrated by specific examples.

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Institute of Mathematics and Mathematical Modelling, Pushkin Str., 125, Almaty, 050010, Kazakhstan
Zhubanov Aktyubinsk Regional State University, Moldagulova Ave., 34, Aktobe, 030000, Kazakhstan

Institute of Mathematics and Mathematical Modelling
Zhubanov Aktyubinsk Regional State University

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