关键词: 发展方程, 算子分解, 时间依赖拉回吸引子, 存在性

Abstract: We considered a class of non-autonomous second-order evolution equations with delay. Firstly, we obtained the existence and uniqueness of solution by using Faedo-Galerkin approximation method in C_Ht. Secondly, by means of operator decomposition, the D_CHt-pullback asymptotic compactness of the process {U(t,τ)}_t≥τ was verified, which proved the existence of time-dependent pullback attractor for evolution equations with delay.

Key words: evolution equation, operator decomposition, time-dependent pullback attractor, existence