| Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval | |
|---|---|
| 學年 | 100 |
| 學期 | 1 |
| 出版（發表）日期 | 2011-10-26 |
| 作品名稱 | Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval |
| 作品名稱（其他語言） | |
| 著者 | Chang, Tsorng-Hwa; Shieh, Chung-tsun |
| 單位 | 淡江大學數學學系 |
| 出版者 | Heidelberg: SpringerOpen |
| 著錄名稱、卷期、頁數 | Boundary Value Problems 2011(40) |
| 摘要 | In this paper, the vectorial Sturm-Liouville operator L Q =−d 2 dx 2 +Q(x) is considered, where Q(x) is an integrable m×m matrix-valued function defined on the interval [0,π] . The authors prove that m 2 +1 characteristic functions can determine the potential function of a vectorial Sturm-Liouville operator uniquely. In particular, if Q(x) is real symmetric, then m(m+1) 2 +1 characteristic functions can determine the potential function uniquely. Moreover, if only the spectral data of self-adjoint problems are considered, then m 2 +1 spectral data can determine Q(x) uniquely. |
| 關鍵字 | Inverse spectral problems;Sturm-Liouville equation |
| 語言 | en |
| ISSN | 1687-2770 1687-2762 |
| 期刊性質 | 國外 |
| 收錄於 | SCI EI |
| 產學合作 | 國外 |
| 通訊作者 | Shieh, Chung-tsun |
| 審稿制度 | 否 |
| 國別 | DEU |
| 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/987654321/92145 ) |
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