带时滞的发展方程时间依赖拉回吸引子的存在性

Abstract

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

CLC Number:

O175.29

GAO Juanping, LIU Tingting. Existence of Time-Dependent Pullback Attractor for Evolution Equations with Delay[J].Journal of Jilin University Science Edition, 2024, 62(5): 1027-1036.

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Existence of Time-Dependent Pullback Attractor for Evolution Equations with Delay

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