General stability of solutions for a viscoelastic wave equations of Kirchhoff type with acoustic boundary conditions

被引：8

作者：

Kang, Jum-Ran ^{[1
]}

机构：

[1] Dong A Univ, Dept Math, Busan 604714, South Korea

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 11期

关键词：

Kirchhoff type; viscoelastic wave equation; acoustic boundary conditions; general decay; modified energy functional; relaxation function; GLOBAL EXISTENCE; ENERGY DECAY; INTEGRODIFFERENTIAL EQUATION; BLOW-UP;

D O I：

10.1002/mma.3742

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a viscoelastic wave equations of Kirchhoff type with acoustic boundary conditions. For a viscoelastic wave equations of Kirchhoff type without strong damping, we prove an explicit and general decay rate result, using some properties of the convex functions. For a wider class of relaxation functions, we establish a more general decay result, fromwhich the usual exponential and polynomial decay rates are only special cases. Copyright (C) 2016 JohnWiley & Sons, Ltd.

引用

页码：2953 / 2964

页数：12

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