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
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共 20 条
[1]   Asymptotic stability and energy decay rates for solutions of the wave equation with memory in a star-shaped domain [J].
Aassila, M ;
Cavalcanti, MM ;
Soriano, JA .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (05) :1581-1602
[2]  
[Anonymous], 1989, Boundary Stabilization of Thin Plates
[3]   General decay rate estimates for viscoelastic dissipative systems [J].
Cavalcanti, M. M. ;
Cavalcanti, V. N. Domingos ;
Martinez, P. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (01) :177-193
[4]  
Cavalcanti MM, 2005, DIFFER INTEGRAL EQU, V18, P583
[5]  
Cavalcanti MM, 2002, ELECTRON J DIFFER EQ
[6]  
Kafini M, 2012, ELECTRON J DIFFER EQ
[7]   Energy decay rates for von Karman system with memory and boundary feedback [J].
Kang, Jum-Ran .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (18) :9085-9094
[8]  
Komornik V., 1994, NODEA-NONLINEAR DIFF, V1, P323, DOI DOI 10.1007/BF01194984
[9]  
Lagnese J., 1989, International Series of Numerical Mathematics, V91
[10]   EXPONENTIAL DECAY-RATES FOR THE SOLUTIONS OF EULER-BERNOULLI EQUATIONS WITH BOUNDARY DISSIPATION OCCURRING IN THE MOMENTS ONLY [J].
LASIECKA, I .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1992, 95 (01) :169-182