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MR1026779 (91d:60149) 60H99 (39A10 47A50 62M10)
Dorogovtsev, A. Ya. Necessary and sufficient conditions for existence of stationary and periodic solutions of a stochastic difference equation in Hilbert space. Comput. Math. Appl. 19 (1990), no. 1, 31--37.
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