Abstract

In this chapter the asymptotic behavior of the solutions of stochastic difference second kind Volterra equations is studied by virtue of the procedure of the construction of Lyapunov functionals and also by the resolvent representation of a solution. In particular sufficient conditions for p-summability, p≥1, for the solution of a stochastic difference second kind Volterra equation are obtained, and linear equations with constant and variable coefficients, and nonlinear stationary and nonstationary systems are considered.

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