Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664503 | Acta Mathematica Scientia | 2011 | 8 Pages |
Abstract
In this paper, the classical Ambarzumyan's theorem for the regular Sturm-Liouville problem is extended to the case in which the boundary conditions are eigenparameter dependent. Specifically, we show that if the spectrum of the operator −D2 + q with eigenparameter dependent boundary conditions is the same as the spectrum belonging to the zero potential, then the potential function q is actually zero.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)