| Partial inverse problems for Sturm-Liouville operators on trees | |
|---|---|
| 學年 | 106 |
| 學期 | 1 |
| 出版（發表）日期 | 2017-08-15 |
| 作品名稱 | Partial inverse problems for Sturm-Liouville operators on trees |
| 作品名稱（其他語言） | |
| 著者 | Natalia Bondarenko; Chung-Tsun Shieh |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Proceedings of the Royal Society of Edinburgh Section A: Mathematics 147(5), pp.917–933 |
| 摘要 | n this paper, inverse spectral problems for Sturm–Liouville operators on a tree (a graph without cycles) are studied. We show that if the potential on an edge is known a priori, then b – 1 spectral sets uniquely determine the potential functions on a tree with b external edges. Constructive solutions, based on the method of spectral mappings, are provided for the considered inverse problems. |
| 關鍵字 | quantum graphs;Sturm–Liouville operators;inverse spectral problems;method of spectral mappings |
| 語言 | en |
| ISSN | 0308-2105 (Print);1473-7124 (Online) |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Natalia Bondarenko |
| 審稿制度 | 是 |
| 國別 | GBR |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/114946 ) |
GoogleAnalytics