General decay rate for a class of weakly dissipative second-order systems with memory

被引：19

作者：

Hassan, Jamilu Hashim ^{[1
]}

Messaoudi, Salim A. ^{[1
]}

机构：

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 08期

关键词：

finite memory; general decay; relaxation function; viscoelastic; weakly dissipative system; ASYMPTOTIC STABILITY; VISCOELASTIC EQUATION; ENERGY;

D O I：

10.1002/mma.5554

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study an abstract class of weakly dissipative second-order systems with finite memory. We establish a new general decay rate for the solution of the system under some appropriate conditions on the memory kernel (relaxation function). Our result improves and generalizes many existing results in the literature. We also give some examples to illustrate our abstract result.

引用

页码：2842 / 2853

页数：12

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