Recovering differential operators with nonlocal boundary conditions
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.
Analysis and Mathematical Physics
- Pub Date:
- December 2016
- Mathematics - Spectral Theory;
- 34A55 34L05 47E05
- 12 pages