Abstract
An inverse problem of spectral analysis is studied for Sturm–Liouville differential operators with non-separated boundary conditions. For the central symmetric case, we prove the local solvability of the inverse problem of recovering the potential from one spectrum.
Acknowledgements
This research was supported in part by DAAD, by Qatar National Research Fund (project NPRP 08-345-1-067), by Russian Foundation for Basic Research and Taiwan National Science Council (projects 10-01-00099 and 10-01-92001-NSC).