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

被引：0

作者：

Ge, Xinfeng ^{[1
]}

Su, Keqin ^{[2
]}

机构：

[1] Xuchang Univ, Engn Training Ctr, Sch Elect & Mech Engn, Xuchang 461000, Peoples R China

[2] Henan Agr Univ, Coll Informat & Management Sci, Zhengzhou 450046, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 05期

关键词：

Timoshenko system; exponential stability; variable delay; memory; ATTRACTORS; CATTANEO; EQUATION; HISTORY; MODELS; SHEAR;

D O I：

10.3934/era.2024160

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 .

引用

页码：3457 / 3476

页数：20

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