Polynomial Decay for the Timoshenko System with Dynamical Boundary Conditions

被引：1
作者：
Khemmoudj, Ammar [1 ]
Kechiche, Naouel [1 ]
机构：
[1] Univ Sci & Technol Houari Boumedienne, Fac Math, Lab SDG, POB 32, Algiers 16111, Algeria
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2022年 / 45卷 / 03期
关键词：
Timoshenko system; Polynomial rate of decay; Dynamic boundary condition; Semigroup theory; Frequency domain method; ENERGY DECAY; ASYMPTOTIC-BEHAVIOR; EXPONENTIAL STABILITY; BEAM; CONTROLLABILITY; STABILIZATION; CATTANEO; HISTORY; THERMOELASTICITY; EQUATION;
D O I：
10.1007/s40840-021-01226-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we show that the solution of Timoshenko systems with past history and dynamical boundary condition decays polynomially in the case where the wave speeds of equations are different. Our method is based on the semigroup technique and the contraction argument of frequency domain method.
引用
收藏
页码：1195 / 1212
页数：18
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