Asymptotic Stability for the Second Order Evolution Equation with Memory

被引：11

作者：

Mustafa, Muhammad I. ^{[1
]}

机构：

[1] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2019年 / 25卷 / 02期

关键词：

General decay; Viscoelastic damping; Relaxation function; GENERAL DECAY; VISCOELASTIC EQUATION; VOLTERRA EQUATION; WAVE-EQUATION; ENERGY; BEHAVIOR; SYSTEMS; RATES; EXISTENCE;

D O I：

10.1007/s10883-018-9410-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider an abstract viscoelastic equation. We use memory-type damping with a general assumption on the relaxation function and establish explicit energy decay result from which we can recover the optimal exponential and polynomial rates. Our result generalizes the earlier related results in the literature.

引用

页码：263 / 273

页数：11

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