A uniqueness theorem of the solution of an inverse spectral problem. (English) Zbl 1412.47019
Summary: This paper is devoted to the proof of the unique solvability of the inverse problems for second-order differential operators with regular singularities. It is shown that the potential function can be determined from spectral data, also we prove a uniqueness theorem in the inverse problem.
MSC:
| 47E05 | General theory of ordinary differential operators |
| 34B05 | Linear boundary value problems for ordinary differential equations |
| 34L20 | Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators |
