Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1
STABILITY OF THE RECONSTRUCTION DISCONTINUOUS STURM-LIOUVILLE PROBLEM
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 484–499
- DOI
- —
Abstract
In this work, we study stability of the inverse spectral problem forthe Sturm-Liouville operator D2 + q with discontinuity boundary conditionsinside a Önite closed interval. We use the method which is given by Ryabushkofor regular Sturm-Liouville operator in [22] to obtain stability results. Theseresults give a bound for the di§erence between the spectral functions of associated problems. In addition, we give asymptotic representation of the eigenvalues and a formula for the representation of the norming constants by twospectra.