頁籤選單縮合
題 名 | The Interlacing of Spectra between Continuous and Discontinuous Sturm-Liouville Problems and Its Application to Inverse Problems |
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作 者 | 傅守忠; 徐宗本; 魏廣生; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 16:2 2012.04[民101.04] |
頁 次 | 頁651-663 |
分類號 | 314.22 |
關鍵詞 | Discontinuous sturm-liouville problem; Eigenvalue; Weyl-titchmarsh m-function; Inverse spectral problem; |
語 文 | 英文(English) |
英文摘要 | The discontinuous Sturm-Liouville problem defined on [0,1] with jump conditions at point d∈(0,1) is considered. The interlacing of the spectra between the discontinuous Sturm-Liouville problem and two Sturm-Liouville problems defined on [0,d] and [d,1] is provided. As the application of this interlacing to inverse problems, we prove that the potential is determined uniquely by the three spectra generated by the discontinuous Sturm-Liouville problem and two Sturm-Liouville problems defined on [0,d] and [d,1]. |
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