| 題名: | An inverse nodal problem for vectorial Sturm-Liouville equations |
| 作者: | Shen, Chao-liang;謝忠村;Shieh, Chung-tsun |
| 貢獻者: | 淡江大學數學學系 |
| 日期: | 2000-04 |
| 上傳時間: | 2010-01-28 07:07:47 (UTC+8) |
| 出版者: | Institute of Physics (IOP) |
| 摘要: | Let P (x) denote a 2 × 2 symmetric matrix-valued function defined on [0, 1]. We
prove that if there exists an infinite sequence {y(x; λnj )}∞
j=1 of Dirichlet eigenfunctions of the
operator − d2
dx2 + P (x) whose components all have zeros in common, then P (x) is simultaneously
diagonalizable on [0, 1]. This result can also be generalized to the general n-dimensional case. |
| 關聯: | Inverse Problems 16(2), pp.349-356 |
| DOI: | 10.1088/0266-5611/16/2/306 |
| 顯示於類別: | [應用數學與數據科學學系] 期刊論文
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