Recovering differential operators with nonlocal boundary conditions
Abstract
Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator. Two uniqueness theorems of inverse problems from the Weyl-type function and two spectra are presented and proved, respectively.
- Publication:
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Analysis and Mathematical Physics
- Pub Date:
- December 2016
- DOI:
- 10.1007/s13324-015-0120-6
- arXiv:
- arXiv:1410.2017
- Bibcode:
- 2016AnMP....6..315Y
- Keywords:
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- Mathematics - Spectral Theory;
- 34A55 34L05 47E05
- E-Print:
- 12 pages