On the control of solutions of viscoelastic equations with boundary feedback

被引：50

作者：

Messaoudi, Salim A. ^{[1
]}

Mustafa, Muhammad Islam ^{[2
]}

机构：

[1] KFUPM, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Prince Sultan Univ, Dept Math, Riyadh 11586, Saudi Arabia

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 05期

关键词：

General decay; Boundary damping; Relaxation function; Viscoelastic; DECAY; EXISTENCE;

D O I：

10.1016/j.nonrwa.2008.10.026

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 feedback localized on a part of the boundary. For a wider class of relaxation functions and without imposing any restrictive growth assumption on the damping term, we establish an explicit and general decay rate result. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3132 / 3140

页数：9

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