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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 16
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Articles

Well-posedness and exponential stability of a flexible structure with second sound and time delay

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Pages 2903-2915 | Received 04 Jan 2018, Accepted 10 May 2018, Published online: 16 Jun 2018
 

ABSTRACT

In this paper, we consider a non-uniform flexible structure with time delay under Cattaneo's law of heat condition. We prove that the system is well-posed, and the system is exponential decay under a small condition on time delay.

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Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [Grant No. 11771214], and the initial funding for talents of Nanjing University of Information Science and Technology.

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