有记忆的非自主悬索桥方程的均匀吸引子

Pub Date : 2024-02-10 DOI:10.58997/ejde.2024.16
Lulu Wang, Qiaozhen Ma
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引用次数: 0

摘要

本文研究了具有记忆和自由边界条件的非自治悬索桥方程的长期动力学行为。我们首先通过最大单调算子理论建立了系统的好求性。其次,得到了均匀有界吸收集的存在性。最后,验证了过程的渐近紧凑性,并证明了带记忆项的非自治悬索桥方程的均匀吸引子的存在性。更多信息,请参见 https://ejde.math.txstate.edu/Volumes/2024/16/abstr.html。
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Uniform attractors of non-autonomous suspension bridge equations with memory
In this article, we investigate the long-time dynamical behavior of non-autonomous suspension bridge equations with memory and free boundary conditions. We first establish the well-posedness of the system by means of the maximal monotone operator theory. Secondly, the existence of uniformly bounded absorbing set is obtained. Finally, asymptotic compactness of the process is verified, and then the existence of uniform attractors is proved for non-autonomous suspension bridge equations with memory term. For more information see https://ejde.math.txstate.edu/Volumes/2024/16/abstr.html
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