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.

引用

页数：38

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