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On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints
Guo, BZ; Xie, Y; Hou, XZ
2004-04-01
Source PublicationJOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
ISSN1079-2724
Volume10Issue:2Pages:187-211
AbstractA framework of a general type of Petrovsky equation is formulated. The characteristic equation for eigenvalues of the system is derived and the associated eigenfunctions are found. For N-connected beams with linear feedbacks at joint points, the asymptotic expansions of eigenvalues and eigenfunctions are further developed, and the Riesz basis property and the exponential stability are then concluded.
KeywordPetrovsky type equation C-0-semigroup spectral analysis Riesz basis
Language英语
WOS Research AreaAutomation & Control Systems ; Mathematics
WOS SubjectAutomation & Control Systems ; Mathematics, Applied
WOS IDWOS:000220869600003
PublisherKLUWER ACADEMIC/PLENUM PUBL
Citation statistics
Cited Times:11[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19470
Collection系统科学研究所
Affiliation1.Acad Sinica, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
2.Towson Univ, Dept Math, Towson, MD 21252 USA
Recommended Citation
GB/T 7714
Guo, BZ,Xie, Y,Hou, XZ. On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,2004,10(2):187-211.
APA Guo, BZ,Xie, Y,&Hou, XZ.(2004).On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,10(2),187-211.
MLA Guo, BZ,et al."On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints".JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 10.2(2004):187-211.
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