ASYMPTOTIC STABILITY OF SOLUTIONS TO ELASTIC SYSTEMS WITH STRUCTURAL DAMPING

被引：0

作者：

Fan, Hongxia ^{[1
]}

Gao, Fei ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

Asymptotic stability; elastic systems; structural damping; exponential stability; sectorial operator; MATHEMATICAL-MODEL; BANACH-SPACES; SEMIGROUPS; ANALYTICITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the asymptotic stability of solutions for the initial value problems of second order evolution equations in Banach spaces, which can model elastic systems with structural damping. The discussion is based on exponentially stable semigroups theory. Applications to the vibration equation of elastic beams with structural damping are also considered.

引用

页数：9

共 18 条

[1] A MATHEMATICAL-MODEL FOR LINEAR ELASTIC-SYSTEMS WITH STRUCTURAL DAMPING
CHEN, G
RUSSELL, DL
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1982, 39 (04) : 433 - 454
[2] CHEN S, 1989, PAC J MATH, V39, P15
[3] GEVREY CLASS SEMIGROUPS ARISING FROM ELASTIC-SYSTEMS WITH GENTLE DISSIPATION - THE CASE 0 LESS-THAN-ALPHA-LESS-THAN 1/2
CHEN, SP
TRIGGIANI, R
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 110 (02) : 401 - 415
[4] Engel K.-J., 1999, One-parameter semigroups for linear evolution equations, V194
[5] Fan H., ABSTR APPL AN, V2013
[6] Monotone iterative technique for the elastic systems with structural damping in Banach spaces
Fan, Hongxia
Li, Yongxiang
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 68 (03) : 384 - 391
[7] Analyticity and exponential stability of semigroups for the elastic systems with structural damping in Banach spaces
Fan, Hongxia
Li, Yongxiang
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 410 (01) : 316 - 322
[8] Henry D., 1981, GEOMETRIC THEORY SEM
[9] ON THE MATHEMATICAL-MODEL FOR LINEAR ELASTIC-SYSTEMS WITH ANALYTIC DAMPING
HUANG, F
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1988, 26 (03) : 714 - 724
[10] DIFFERENTIABILITY OF THE SEMIGROUP ASSOCIATED WITH A STRUCTURAL DAMPING MODEL
HUANG, F
LIU, KS
CHEN, G
[J]. PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 2034 - 2038

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