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.

引用

页数：1

共 50 条

[1] ENERGY DECAY IN A TIMOSHENKO-TYPE SYSTEM FOR THERMOELASTICITY OF TYPE III WITH DISTRIBUTED DELAY AND PAST HISTORY
Hao, Jianghao
Wang, Fei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[2] Energy decay rates for a Timoshenko-type system of thermoelasticity of type III with constant delay
Kafini, Muhammad
Messaoudi, Salim A.
Mustafa, Muhammad I.
APPLICABLE ANALYSIS, 2014, 93 (06) : 1201 - 1216
[3] Energy decay result in a Timoshenko-type system of thermoelasticity of type III with distributive delay
Kafini, Mohammad
Messaoudi, Salim A.
Mustafa, Muhammad I.
JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (10)
[4] ENERGY DECAY IN A TIMOSHENKO-TYPE SYSTEM WITH HISTORY IN THERMOELASTICITY OF TYPE III
Messaoudi, Salim A.
Said-Houari, Belkacem
ADVANCES IN DIFFERENTIAL EQUATIONS, 2009, 14 (3-4) : 375 - 400
[5] Energy decay in a Timoshenko-type system of thermoelasticity of type III
Messaoudi, Salim A.
Said-Houari, Belkacem
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) : 298 - 307
[6] General energy decay in a Timoshenko-type system of thermoelasticity of type III with a viscoelastic damping
Kafini, Mohammad
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 375 (02) : 523 - 537
[7] Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay
Muhammad Kafini
Salim A. Messaoudi
Muhammad I. Mustafa
Tijani Apalara
Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 1499 - 1517
[8] Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay
Kafini, Muhammad
Messaoudi, Salim A.
Mustafa, Muhammad I.
Apalara, Tijani
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (04): : 1499 - 1517
[9] General decay in a Timoshenko-type system with thermoelasticity with second sound
Ayadi, Mohamed Ali
Bchatnia, Ahmed
Hamouda, Makram
Messaoudi, Salim
ADVANCES IN NONLINEAR ANALYSIS, 2015, 4 (04) : 263 - 284
[10] Uniform decay in a Timoshenko-type system with past history
Messaoudi, Salim A.
Said-Houari, Belkacem
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 360 (02) : 459 - 475

← 1 2 3 4 5 →