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Pullback exponential attractors for differential equations with delay
Discrete and Continuous Dynamical Systems-Series S ( IF 1.3 ) Pub Date : 2020-05-28 , DOI: 10.3934/dcdss.2020367
Sana Netchaoui , , Mohamed Ali Hammami , Tomás Caraballo ,

We show the existence of an exponential attractor for non-autono-mous dynamical system with bounded delay. We considered the case of strong dissipativity then prove that the result remains for the weak dissipativity. We conclude then the existence of the global attractor and ensure the boundedness of its fractal dimension.

中文翻译:

具有时滞的微分方程的回撤指数吸引子

我们显示了具有时滞的非自治动力系统的指数吸引子的存在。我们考虑了强耗散的情况,然后证明了弱耗散的结果仍然存在。然后我们得出整体吸引子的存在性并确保其分形维数的有界性。
更新日期:2020-05-28
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