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Extension of Ambarzumyan's Theorem to General Boundary Conditions

✍ Scribed by Hua-Huai Chern; C.K. Law; Hung-Jen Wang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
95 KB
Volume
263
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 PΓΆschel-Trubowitz inverse spectral theory. We also have parallel results for vectorial Sturm-Liouville systems.

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