Pullback Exponential Attractors for Non-autonomous Lattice Systems
Pullback Exponential Attractors for Non-autonomous Lattice Systems
复制标题
DOI：
10.1007/s10884-012-9260-7
复制
发表时间：
2012-06
影响因子：
1.3
通讯作者：
Shengfan Zhou;Xiaoying Han
中科院分区：
文献类型：
--
作者：
Shengfan Zhou;Xiaoying Han
我们首先提出了巴拿赫空间和无限序列加权空间上连续过程（非自治动力系统）的回拉指数吸引子的存在和构造的一些充分条件。然后，我们应用我们的结果来研究加权空间中具有时变耦合系数和时变外项的一阶非自治微分方程和无限格上的部分耗散微分方程的回拉指数吸引子的存在性。
We first present some sufficient conditions for the existence and the construction of a pullback exponential attractor for the continuous process (non-autonomous dynamical system) on Banach spaces and weighted spaces of infinite sequences. Then we apply our results to study the existence of pullback exponential attractors for first order non-autonomous differential equations and partly dissipative differential equations on infinite lattices with time-dependent coupled coefficients and time-dependent external terms in weighted spaces.