General decay for Kirchhoff plates with a boundary condition of memory type

被引:11
作者
Kang, Jum-Ran [1 ]
机构
[1] Dong A Univ, Dept Math, Pusan 604714, South Korea
关键词
Kirchhoff plates; general decay rate; memory term; relaxation function; WAVE-EQUATION; RATES; SYSTEM; STABILITY;
D O I
10.1186/1687-2770-2012-129
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we consider Kirchhoff plates with a memory condition at the boundary. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.
引用
收藏
页数:11
相关论文
共 20 条
[11]   General decay of solutions of a viscoelastic equation [J].
Messaoudi, Salim A. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (02) :1457-1467
[12]   Exponential and polynomial decay for a quasilinear viscoelastic equation [J].
Messaoudi, Salim A. ;
Tatar, Nasser-Eddine .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (04) :785-793
[13]   General decay of solutions of a wave equation with a boundary control of memory type [J].
Messaoudi, Salim A. ;
Soufyane, Abdelaziz .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) :2896-2904
[14]  
Munoz Rivera J.E., 2001, Adv. Di erential Equations, V6, P359
[15]   Energy decay rates for a Timoshenko system with viscoelastic boundary conditions [J].
Mustafa, Muhammad I. ;
Messaoudi, Salim A. .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (18) :9125-9131
[16]   A boundary condition with memory for the Kirchhoff plate equations with non-linear dissipation [J].
Park, JY ;
Kang, JR .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2006, 29 (03) :267-280
[17]  
Ribera JEM, 1996, J ELASTICITY, V44, P61, DOI 10.1007/BF00042192
[18]  
Santos ML, 2011, DIFFER INTEGRAL EQU, V24, P69
[19]   A boundary condition with memory for Kirchhoff plates equations [J].
Santos, MD ;
Junior, F .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 148 (02) :475-496
[20]   Global existence and stability for wave equation of Kirchhoff type with memory condition at the boundary [J].
Santos, ML ;
Ferreira, J ;
Pereira, DC ;
Raposo, CA .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (05) :959-976