Analyticity and exponential stability of semigroups for the elastic systems with structural damping in Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:410

Article

Fan, Hongxia^1,2  Li, Yongxiang¹ 

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

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

关键词: Elastic systems;    Structural damping;    Analyticity;    Exponential stability;   

DOI  :  10.1016/j.jmaa.2013.08.028

来源: Elsevier

【 摘 要 】

In this paper, we consider a second order evolution equation in a Banach space, which can model an elastic system with structural damping. New forms of the corresponding first order evolution equation are introduced, and their well-posed property is proved by means of the operator semigroup theory. We give sufficient conditions for analyticity and exponential stability of the associated semigroups. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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