New general decay results in an infinite memory viscoelastic problem with nonlinear damping

被引：20

作者：

Al-Mandi, Adel M. ^{[1
]}

Al-Gharabli, Mohammad M. ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Preparatory Year Math Program, Dhahran, Saudi Arabia

来源：

BOUNDARY VALUE PROBLEMS | 2019年 / 2019卷 / 01期

关键词：

General decay; Infinite memory; Viscoelastic problems; DISSIPATIVE 2ND-ORDER SYSTEMS; ASYMPTOTIC STABILITY; WAVE EQUATION; BEHAVIOR; ENERGY; RATES;

D O I：

10.1186/s13661-019-1253-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with a viscoelastic equation with a nonlinear frictional damping and a relaxation function satisfying g '(t) <= -xi(t)g(p)(t), t >= 0, 1 <= p < 3/2. We establish general decay rate results using the multiplier method and some properties of non-homogeneous ordinary differential inequalities. These results extend and improve many results in the literature.

引用

页数：15

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