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

doi:10.1016/j.jmaa.2010.08.070

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	On the spectrum of Euler-Bernoulli beam equation with Kelvin-Voigt damping
	Zhang, Guo-Dong 1,2; Guo, Bao-Zhu2,3,4
	2011-02-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	374 期号:1 页码:210-229
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.
关键词	Beam equation Spectrum Variable coefficients Kelvin-Voigt damping
DOI	10.1016/j.jmaa.2010.08.070
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000282707700018
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12979
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.