Riesz basis generation of abstract second-order partial differential equation systems with general non-separated boundary conditions

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	Riesz basis generation of abstract second-order partial differential equation systems with general non-separated boundary conditions
	Guo, Bao-Zhu; Wang, Jun-Min
	2006-04-01
发表期刊	NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
ISSN	0163-0563
卷号	27 期号:3-4 页码:291-328
摘要	Riesz basis analysis for a class of general second-order partial differential equation systems with nonseparated boundary conditions is conducted. Using the modern spectral analysis approach for parameterized ordinary differential operators, it is shown that the Riesz basis property holds for the general system if its associated characteristic equation is strongly regular. The Riesz basis property can then be readily established in a unified manner for many one-dimensional second-order systems such as linear string and beam equations with collocated or noncollocated boundary feedbacks and tip mass attached systems. Three demonstrative examples are presented.
关键词	partial differential equation Riesz basis spectral operator vibrating system
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000237718700004
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3136
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, Johannesburg, South Africa 3.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Wang, Jun-Min. Riesz basis generation of abstract second-order partial differential equation systems with general non-separated boundary conditions[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,2006,27(3-4):291-328.
APA	Guo, Bao-Zhu,&Wang, Jun-Min.(2006).Riesz basis generation of abstract second-order partial differential equation systems with general non-separated boundary conditions.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,27(3-4),291-328.
MLA	Guo, Bao-Zhu,et al."Riesz basis generation of abstract second-order partial differential equation systems with general non-separated boundary conditions".NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 27.3-4(2006):291-328.