Stochastic Helmholtz Problem and Convergence Almost Surely
Tleubergenov M.I. Vassilina G.K. Azhymbaev D.T.
March 2024Pleiades Publishing
Lobachevskii Journal of Mathematics
2024#45Issue 31287 - 1295 pp.
Abstract: Given second-order Ito stochastic equations, we construct almost surely equivalent stochastic equations of the Lagrangian structure. We establish the conditions for the direct and indirect analytical representations of the Lagrangian in the presence of random perturbations. The results obtained are illustrated by examples.
Helmholtz problem , inverse problems , stochastic equations of the Lagrangian structure
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Almaty University of Power Engineering and Telecommunication named Gumarbek Daukeev, Almaty, Kazakhstan
Zhubanov Aktobe Regional University, Aktobe, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University
Almaty University of Power Engineering and Telecommunication named Gumarbek Daukeev
Zhubanov Aktobe Regional University
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