http://scholars.ntou.edu.tw/handle/123456789/14578
標題: | Extension of Ambarzumyan's Theorem to General Boundary Conditions | 作者: | Hua-Huai Chern C.K. Law Hung-Jen Wang |
關鍵字: | Ambarzumyan's theorem;inverse spectral theory;Gelfand–Levitan equation;eigenvalue asymptotics | 公開日期: | 15-十一月-2001 | 出版社: | ScienceDirect | 卷: | 263 | 期: | 2 | 起(迄)頁: | 333-342 | 來源出版物: | Journal of Mathematical Analysis and Applications | 摘要: | We extend the classical Ambarzumyan's theorem for the Sturm–Liouville equation (which is concerned only with Neumann boundary conditions) to the general boundary conditions, by imposing an additional condition on the potential function. Our result supplements the Pöschel–Trubowitz inverse spectral theory. We also have parallel results for vectorial Sturm–Liouville systems. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/14578 | ISSN: | 0022-247X | DOI: | 10.1006/jmaa.2001.7472 |
顯示於: | 資訊工程學系 |
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