A general decay result of a viscoelastic equation with infinite history and nonlinear damping

被引：4

作者：

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

机构：

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

来源：

APPLICABLE ANALYSIS | 2018年 / 97卷 / 03期

关键词：

General decay; infinite memory; viscoelastic; convexity; ASYMPTOTIC STABILITY; DISSIPATIVE SYSTEMS; BEHAVIOR; ENERGY;

D O I：

10.1080/00036811.2016.1268686

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a viscoelastic equation with a nonlinear frictional damping and in the presence of an infinite-memory term. We prove an explicit and general decay result using some properties of the convex functions. Our approach allows a wider class of kernels, from which those of exponential decay type are only special cases.

引用

页码：382 / 399

页数：18

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