Abstract
We obtain sufficient conditions for the stability of weak solutions of nonlinear stochastic functional-differential equations in Hilbert spaces with random coefficients satisfying the nonlocal Lipschitz condition.
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Original Russian Text © M.M. Vas’kovskii, I.V. Kachan, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 7, pp. 866–880.
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Vas’kovskii, M.M., Kachan, I.V. Stability of Solutions of Stochastic Functional-Differential Equations with Locally Lipschitz Coefficients in Hilbert Spaces. Diff Equat 54, 845–859 (2018). https://doi.org/10.1134/S0012266118070029
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DOI: https://doi.org/10.1134/S0012266118070029