关键词: 时间依赖全局吸引子, 存在性, 算子分解, 抽象发展方程, 正则性

Abstract: By means of a priori estimation technique and an operator decomposition method, combined with the modified pullback attractors theory, we proved the existence and regularity of timedependent global attractors for the nondamping abstract evolution equations with memory type.

Key words: timedependent global attractor, existence, operator decomposition,  abstract evolution equation, regularity