... compact set K in Rn, p, P ∈ Hf, B, q, Q ∈ Hf, B, we define π p, q andπ P, Q byπ p, qsup p n, x − qn, x : n ∈ Z ,x K,π P, Q∞N1πN P, Q2N1 πN P, ... Forthe asymptotic properties of discrete Volterra equations, see 5.In this paper, in order to obtain an existence theorem for an almost periodic solution ofa discrete Volterra equations with unbounded ... πN P, Q,2.13whereπN P, Qsup P n, j, x, y − Qn, j, x, y: n ∈ Z,j∈ −N, 0 ,x, y∈ K,π p, P , q, Q maxπ p, q,π P, Q,2.14respectively. This definition...