Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901100 | Applied Mathematics and Computation | 2018 | 13 Pages |
Abstract
We investigate inverse spectral problems for discontinuous Sturm-Liouville problems of Atkinson type whose spectrum consists of a finite set of eigenvalues. For given two finite sets of interlacing real numbers, there exists a class of Sturm-Liouville equations such that the two sets of numbers are exactly the eigenvalues of their associated Sturm-Liouville problems with two different separated boundary conditions. The main approach is to give an equivalent relation between Sturm-Liouville problems of Atkinson type and matrix eigenvalue problems, and the theory of inverse matrix eigenvalue problems.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jinming Cai, Zhaowen Zheng,