http://scholars.ntou.edu.tw/handle/123456789/14578
Title: | Extension of Ambarzumyan's Theorem to General Boundary Conditions | Authors: | Hua-Huai Chern C.K. Law Hung-Jen Wang |
Keywords: | Ambarzumyan's theorem;inverse spectral theory;Gelfand–Levitan equation;eigenvalue asymptotics | Issue Date: | 15-Nov-2001 | Publisher: | ScienceDirect | Journal Volume: | 263 | Journal Issue: | 2 | Start page/Pages: | 333-342 | Source: | Journal of Mathematical Analysis and Applications | Abstract: | 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 |
Appears in Collections: | 資訊工程學系 |
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