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Research Article | Open Access

Stability of thermoelastic Timoshenko system with variable delay in the internal feedback

Xinfeng Ge1, Keqin Su2( )
School of Electrical and Mechanical Engineering (Engineering Training Centre), Xuchang University, Xuchang 461000, China
College of Information and Management Science, Henan Agricultural University, Zhengzhou 450046, China
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Abstract

Based on the Fourier law of heat conduction, this paper was concerned with the thermoelastic Timoshenko system with memory and variable delay in the internal feedback, which describes the transverse vibration of a beam. By the Lummer-Phillips theorem and the variable norm technique suitable for the nonautonomous operator, the stability of the coupled system has been derived in space H .

Keywords

Timoshenko systemexponential stabilityvariable delaymemory

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Electronic Research Archive
Volume 32 Issue 5,
May 2024
Pages 3457-3476
DOI: 10.3934/era.2024160

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Cite this article:
Ge X, Su K. Stability of thermoelastic Timoshenko system with variable delay in the internal feedback. Electronic Research Archive, 2024, 32(5): 3457-3476. https://doi.org/10.3934/era.2024160

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Received: 21 February 2024
Revised: 13 May 2024
Accepted: 20 May 2024
Published: 15 May 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)