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MR1098269 (92d:60068) 60H99 (47A50)
Gorodniĭ, M. F. Bounded and periodic solutions of a difference equation and its stochastic analogue in a Banach space. (Russian) Ukrain. Mat. Zh. 43 (1991), no. 1, 41--46; translation in Ukrainian Math. J. 43 (1991), no. 1, 32--37
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