General Decay for a Timoshenko-type System for Thermoelasticity of Type III with Delay, Past History and Distributed Delay

被引：0
|
作者：
Hamida, Salim [1 ]
Zitouni, Salah [2 ]
Ouchenane, Djamel [3 ]
机构：
[1] Badji Mokhtar Univ, PB 12, Annaba, Algeria
[2] Souk Ahrass Univ, BP 1553, Souk Ahrass, Algeria
[3] Laghouat Univ, BP 37G, Laghouat 03000, Algeria
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷
关键词：
Timoshenko system; past history; relaxation function; distributed delay; energy decay; WAVE-EQUATION; UNIFORM DECAY; STABILITY; STABILIZATION; BOUNDARY; SHEAR;
D O I：
10.5269/bspm.53107
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this studies, we are interested to the one dimensional Timoshenko system of thermoelasticity of type III with past history, delay and distributive delay. We show the well-posedness and we give a general stability result of the system, under suitable conditions on the kernel function of infinite history in the both cases equal and nonequal speeds of wave probagation. Our result improves the few existing works in this direction.
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