Abstract

This work deals with the almost automorphic profile of solutions of the nonlinear Volterra difference equation $u(n+1) = \lambda\sum_{j=-\infty}^{n}a(n-j)u(j) + f(n,u(n))$ , n∈ℤ, for λ in a distinguished subset of the complex plane, where a(n) is a complex summable sequence and the perturbation f is a non-Lipschitz nonlinearity. Many illustrating remarks and examples are considered.

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