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Translated from Matematicheskie Zametki, Vol. 31, No. 4, pp. 549–557, April, 1982.
The author is grateful to S. D. Éidel'man for his valuable consultations and to E. M. Landis, N. V. Krylov and M. A. Krasnosel'skii for their attention to this work.
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Veretennikov, A.Y. Parabolic equations and Itô's stochastic equations with coefficients discontinuous in the time variable. Mathematical Notes of the Academy of Sciences of the USSR 31, 278–283 (1982). https://doi.org/10.1007/BF01138937
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DOI: https://doi.org/10.1007/BF01138937