Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2016 / Cilt: 65 - Sayı: 2
INVERSE SINGULAR SPECTRAL PROBLEM VIA HOCSHTADT-LIEBERMAN METHOD
- Sayfa
- 89–96
- DOI
- —
Abstract
In this paper, it is proved that if q (x) is defined on2 ; , then just one spectrum is enough to determine q (x) on the interval (0;2] for the Sturm-Lioville equation having singularity typexp ; on (0; ], i.e. if the potential on the half-interval is known, then, it is necessary to reconstruct the potential on the whole interval.