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Stochastic Helmholtz Problem and Convergence Almost Surely

  • M. I. Tleubergenov,
  • G. K. Vassilina,
  • D. T. Azhymbaev

摘要

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.