Well-posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks

Well-posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks
复制标题

具有时间延迟和边界反馈的叠层铁莫申科梁的适定性和指数衰减

DOI:
10.1002/mma.4655
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发表时间:
2018
影响因子:
2.9
通讯作者:
Feng Baowei
Feng Baowei
中科院分区:
数学4区
文献类型:
--
作者:
Feng Baowei

文献摘要

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本文研究了具有时滞和边界反馈的复合材料层合梁。利用半群方法,证明了解的整体适定性.假设时滞的权值很小,通过适当的李雅普诺夫泛函,我们建立了系统能量的指数衰减。
This paper is concerned with laminated beams modeled from the well‐established Timoshenko system with time delays and boundary feedbacks. By using semigroup method, we prove the global well‐posedness of solutions. Assuming the weights of the delay are small, we establish the exponential decay of energy to the system by using an appropriate Lyapunov functional.