Abstract

In this chapter some of the results obtained in the previous chapters are repeated for stochastic difference equations with continuous time that are popular enough with researchers. It is shown that after some modification of the basic Lyapunov type theorem the general method of the construction of Lyapunov functionals can be used also for difference equations with continuous time. Also some peculiarities of the investigation of difference equations with continuous time and their differences from difference equations with discrete time are shown. In particular, linear and nonlinear difference Volterra equations with continuous time are considered, and nonstationary equations with monotone coefficients and Volterra equations of the second type.

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