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On the spectrum of Euler-Bernoulli beam equation with Kelvin-Voigt damping

文献类型：期刊论文

作者Zhang, Guo-Dong1,2; Guo, Bao-Zhu2,3,4
刊名JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
出版日期2011-02-01
卷号374期号:1页码:210-229
关键词Beam equation Spectrum Variable coefficients Kelvin-Voigt damping
ISSN号0022-247X
DOI10.1016/j.jmaa.2010.08.070
英文摘要The spectral property of an Euler-Bernoulli beam equation with clamped boundary conditions and internal Kelvin-Voigt damping is considered. The essential spectrum of the system operator is rigorously identified to be an interval on the left real axis. Under some assumptions on the coefficients, it is shown that the essential spectrum contains continuous spectrum only, and the point spectrum consists of isolated eigenvalues of finite algebraic multiplicity. The asymptotic behavior of eigenvalues is presented. (C) 2010 Elsevier Inc. All rights reserved.
资助项目National Natural Science Foundation of China ; National Basic Research Program of China[2011CB808002] ; National Research Foundation of South Africa
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000282707700018
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12978]  
专题系统科学研究所
通讯作者Guo, Bao-Zhu
作者单位1.Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa
3.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
4.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
推荐引用方式
GB/T 7714		 Zhang, Guo-Dong,Guo, Bao-Zhu. On the spectrum of Euler-Bernoulli beam equation with Kelvin-Voigt damping[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2011,374(1):210-229.
APA Zhang, Guo-Dong,&Guo, Bao-Zhu.(2011).On the spectrum of Euler-Bernoulli beam equation with Kelvin-Voigt damping.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,374(1),210-229.
MLA Zhang, Guo-Dong,et al."On the spectrum of Euler-Bernoulli beam equation with Kelvin-Voigt damping".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 374.1(2011):210-229.

入库方式： OAI收割

来源：数学与系统科学研究院

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