| Authors | Seyfollah Mosazadeh and Aliasghar Jodayree Akbarfam |
|---|---|
| Journal | Bulletin of the Iranian Mathematical Society |
| Presented by | University of Kashan- University of Tabriz |
| Page number | 1-12 |
| Paper Type | Full Paper |
| Published At | 06-06-2019 |
| Journal Grade | ISI |
| Journal Type | Typographic |
| Journal Country | Iran, Islamic Republic Of |
| Journal Index | Springer |
Abstract
In this paper, a boundary value problem consisting of a second-order differential equation of Sturm–Liouville type with boundary conditions rationally dependent on the eigenparameter in a bounded interval is investigated. We consider the inverse problem: given eigenvalues and eigenfunctions, we seek the corresponding potential
function, uniquely. Moreover, we give the operator theoretic formula, construct the resolvent operator, and obtain the expansion formula with respect to the eigenfunctions