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k=1 K (n, k) f (xk) , (E) rn, bn ∈ R, rn > 0, f : R → R, K : N × N → R. (1) Here N, R denote the set of positive integers and the set of real numbers, respectively. By a solution of (E) we mean a sequence x : N → R satisfying (E) for large n. Discrete Volterra equations of different types are widely used in the process of modeling of some real phenomena or by applying a numerical method to a Volterra integral equation. Let m ∈ N. The general form of a Volterra sumdifference autonomous equation is Δmxn = an + n ∑

Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type