General decay of solutions of quasilinear wave equation with time-varying delay in the boundary feedback and acoustic boundary conditions

被引:6
作者
Lee, Mi Jin [1 ]
Park, Jong Yeoul [1 ]
Park, Sun-Hye [1 ]
机构
[1] Pusan Natl Univ, Dept Math, Busan 609735, South Korea
基金
新加坡国家研究基金会;
关键词
von Karman equation; acoustic boundary condition; general decay rate; time-varying delay; convex function;
D O I
10.1002/mma.4326
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we are concerned with the general decay result of the quasi-linear wave equation with a time-varying delay in the boundary feedback and acoustic boundary conditions. Copyright (C) 2017 John Wiley & Sons, Ltd.
引用
收藏
页码:4560 / 4576
页数:17
相关论文
共 17 条
[1]  
[Anonymous], 2013, Mathematical methods of classical mechanics
[2]  
[Anonymous], ESAIM CONTROL OPTIM
[3]   SPECTRAL PROPERTIES OF AN ACOUSTIC BOUNDARY-CONDITION [J].
BEALE, JT .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1976, 25 (09) :895-917
[4]   ACOUSTIC BOUNDARY-CONDITIONS [J].
BEALE, JT ;
ROSENCRA.SI .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (06) :1276-1278
[5]   Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks [J].
Benaissa, Abbes ;
Benaissa, Abdelkader ;
Messaoudi, Salim. A. .
JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (12)
[6]   Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions [J].
Boukhatem, Yamna ;
Benabderrahmane, Benyattou .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 97 :191-209
[7]  
Bucci F., 2002, APPL ANAL, V81, P977
[8]   Boundary stabilization of a 3-dimensional structural acoustic model [J].
Lasiecka, I .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1999, 78 (02) :203-232
[9]   General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions [J].
Liu, Wenjun ;
Sun, Yun .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2014, 65 (01) :125-134
[10]  
Morse Philip McCord, 1968, THEORETICAL ACOUSTIC