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Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity. (English) Zbl 1149.39006

A class of stochastic nonlinear hereditary Volterra type difference equations is considered. Sufficient conditions are given for the mean square summability (finite energy property) of the solution. Two illustrative examples are included.

MSC:

39A11 Stability of difference equations (MSC2000)
93E15 Stochastic stability in control theory
37H10 Generation, random and stochastic difference and differential equations
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