ON THE CONTROL OF THE WAVE EQUATION BY MEMORY-TYPE BOUNDARY CONDITION

被引：38
作者：
Mustafa, Muhammad I. [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 03期
关键词：
General decay; viscoelastic damping; relaxation function; convexity; ENERGY DECAY-RATES; GENERAL DECAY; VISCOELASTIC EQUATION; GLOBAL EXISTENCE; NONLINEAR SOURCE; KIRCHHOFF TYPE; UNIFORM DECAY; SYSTEMS; STABILITY; TERM;
D O I：
10.3934/dcds.2015.35.1179
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a wave equation with a viscoelastic boundary damping localized on a part of the boundary. We establish an explicit and general decay rate result that allows a larger class of relaxation functions and generalizes previous results existing in the literature.
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页码：1179 / 1192
页数：14
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