Existence and New General Decay Results for a Viscoelastic Timoshenko System

被引：28

作者：

Hassan, Jamilu Hashim ^{[1
]}

Messaoudi, Salim A. ^{[2
]}

Zahri, Mostafa ^{[2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, POB 546, Dhahran 31261, Saudi Arabia

[2] Univ Sharjah, Res Grp MASEP, Dept Math, Coll Sci, Sharjah, U Arab Emirates

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2020年 / 39卷 / 02期

关键词：

Timoshenko system; viscoelastic; general and optimal decay; equal and non-equal speeds of wave propagation; ENERGY DECAY; STABILITY; MEMORY; SHEAR;

D O I：

10.4171/ZAA/1657

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with a memory-type Timoshenko system with Dirichlet boundary conditions and a very general class of relaxation functions. We prove the existence and uniqueness of solutions of the system as well as some new decay results which generalize and improve many earlier ones in the literature. We consider the case of equal-speeds and the case of non-equal-speeds of propagation. We also give some numerical illustrations and related comparisons.

引用

页码：185 / 222

页数：38

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