Riesz basis generation of abstract second-order partial differential equation systems with general non-separated boundary conditions
文献类型：期刊论文
| 作者 | Guo, Bao-Zhu ; Wang, Jun-Min
|
| 刊名 | NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
 |
| 出版日期 | 2006-04-01 |
| 卷号 | 27期号:3-4页码:291-328 |
| 关键词 | partial differential equation Riesz basis spectral operator vibrating system |
| ISSN号 | 0163-0563 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000237718700004 |
| 出版者 | TAYLOR & FRANCIS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3135]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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