A general stability result for a nonlinear wave equation with infinite memory

被引：23

作者：

Messaoudi, Salim A. ^{[1
]}

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

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 11期

关键词：

General decay; Infinite memory; Nonlinear; Wave equation; LINEAR VISCOELASTIC PROBLEM; DECAY; EXISTENCE;

D O I：

10.1016/j.aml.2013.06.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we consider a nonlinear wave problem in the presence of an infinite-memory term and prove an explicit and general stability result. Our approach allows a wider class of kernels, among which those of exponential decay type, usually considered in the literature, are only special cases. (c) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1082 / 1086

页数：5

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