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Itô functional difference equation; stability of solutions; admissibility of spaces

References:

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[7] Kadiev, R.: **Stability of solutions of stochastic functional differential equations**. Doctoral dissertation, DSc Habilitation thesis, Makhachkala (2000) (in Russian).

[8] Kadiev, R., Ponosov, A. V.: **Stability of linear stochastic functional-differential equations under constantly acting perturbations**. Differ. Equations 28 (1992), 173-179; translation from Differ. Uravn. {\it 28} (1992), 198-207. MR 1184920 | Zbl 0788.60071

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[10] Kadiev, R., Ponosov, A. V.: **The $W$-transform in stability analysis for stochastic linear functional difference equations**. J. Math. Anal. Appl. 389 (2012), 1239-1250. DOI 10.1016/j.jmaa.2012.01.003 | MR 2879292 | Zbl 1248.93168