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In this paper, long-time behavior of a class of non-autonomous viscoelastic equations with fading memory is investigated. We establish the existence of a compact uniform attractor together with its structure in 1 1 2 1 0 0 0 ( ) ( ) ( ; ( )). H H L R H        The compact uniform attractor is bounded in 2 ( ) ( ) ( ; ( )) D A D A L R D A     and attracts every bounded set of 1 1 2 1 0 0 0 ( ) ( ) ( ; ( )). H H L R H        Keywords-non-autonomous wave equations; asymptotic regularity; uniform attractor; memory;viscoelasticity

Asymptotic Regularity and Uniform Attractor for Non-autonomous Viscoelastic Equations with Memory