Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with \(\delta\)-interaction. (English) Zbl 1318.34026
Summary: We study inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with \(\delta\)-interaction. We obtain uniqueness, reconstruction and stability using the nodal set of eigenfunctions for the given problem.
MSC:
| 34A55 | Inverse problems involving ordinary differential equations |
| 34B24 | Sturm-Liouville theory |
| 34L05 | General spectral theory of ordinary differential operators |
| 47E05 | General theory of ordinary differential operators |
