Asymptotic Behavior of Solutions of Discrete Volterra Equations
نویسندگان
چکیده
f : N × R → R, K : N × N → R, K(n, i) = 0 for n < i, and b : N → R. We regard N× R as a metric subspace of the Euclidean plane R2. By a solution of (E) we mean a sequence x : N→ R satisfying (E) for all large n. We say that x is a full solution of (E) if (E) is satisfied for all n. Moreover, if p ∈ N and (E) is satisfied for all n ≥ p, then we say that x is a p-solution. For the sake of convenience, throughout this paper, we use the convention ∑k j qj = 0, whenever j > k.
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