Well-posedness and asymptotic behavior of Timoshenko beam system with dynamic boundary dissipative feedback of fractional derivative type

被引：11
|
作者：
Benaissa, Abbes [1 ]
Benazzouz, Sohbi [1 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Anal & Control PDEs, POB 89, Sidi Bel Abbes 22000, Algeria
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2017年 / 68卷 / 04期
关键词：
Timoshenko beam system; Dynamic boundary dissipation of fractional derivative type; Polynomial stability; TRANSVERSE VIBRATIONS; STABILIZATION; STABILITY; CALCULUS; DECAY;
D O I：
10.1007/s00033-017-0836-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Timoshenko beam system with two dynamic control boundary conditions of fractional derivative type. We show that the system is not uniformly stable by a spectrum method and we establish the polynomial stability using the semigroup theory of linear operators and a result obtained by Borichev and Tomilov.
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页数：38
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