论文信息 - Asymptotically almost periodic solutions on the half-line

Asymptotically almost periodic solutions on the half-line

In this paper, we first show that if x is a bounded solution of the difference equation x(n+1) = Ax(n)+f(n), and the sequence is totally ergodic, σΓ(A): = σ(A)∩Γ is countable and the sequence is asymptotically almost periodic, then the sequence is asymptotically almost periodic. As an application, we consider the asymptotical periodicity of mild solutions to periodic evolution equations.

N. T. Thành | Nguyen T. Thanh

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