On the dynamics of equations with infinite delay
On the dynamics of equations with infinite delay
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DOI：
10.2478/s11533-006-0024-7
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发表时间：
2006-12
影响因子：
--
通讯作者：
D. Pražák
中科院分区：
文献类型：
--
作者：
D. Pražák
考虑一类具有无限时滞的常微分方程组。我们研究具有指数衰减权的函数相空间中的大时间动力学。在抽象假设右端是Lipschitz连续的情况下，证明了指数吸引子的存在性。显式地估计了吸引子的维度。
We consider a system of ordinary differential equations with infinite delay. We study large time dynamics in the phase space of functions with an exponentially decaying weight. The existence of an exponential attractor is proved under the abstract assumption that the right-hand side is Lipschitz continuous. The dimension of the attractor is explicitly estimated.