【摘要】 利用时间依赖空间上的过程理论，研究具有非局部结构阻尼的非自治梁方程解的长时间动力学行为.首先，用Faedo-Galerkin逼近方法得到解的适定性；其次，利用能量估计得到该动力系统在相应解空间中拉回吸收集的存在性；最后，用共圈技术和收缩函数的方法证明时间依赖拉回吸引子的存在性.更多还原

【Abstract】 We studied the long-time dynamic behavior of solution to non-autonomous beam equation with nonlocal structural damping by using the process theory in the time-dependent space. Firstly, we obtained the well-posedness of solution by using Faedo-Galerkin approximation method. Secondly, the existence of pullback absorption set of the dynamical system in the corresponding solution space was obtained by using energy estimation. Finally, we proved the existence of time-dependent pullback attractors by using the cocyclic technique and contraction function method.更多还原