| Authors | Seyfollah Mosazadeh |
|---|---|
| Journal | Iranian Journal of Mathematical Sciences and Informatics |
| Presented by | University of Kashan |
| Paper Type | Full Paper |
| Published At | Accepted for publication |
| Journal Grade | ISI |
| Journal Type | Typographic |
| Journal Country | Iran, Islamic Republic Of |
| Journal Index | ISI, ISC |
Abstract
Inverse nodal problem on Sturm-Liouville operator is finding the potential function $q$ by using the set of nodal points $\{ x^{(n)}_{j} \}$. In this paper, we consider a Sturm-Liouville boundary value problem with a discontinuity at $\zeta\in (0,1)$ and boundary conditions rationally dependent on the eigenparameter, and obtain eigenvalues, eigenfunctions and nodal points. Then, we present the solution of the inverse problem by using the nodal points and prove the Lipschitz stability for the inverse nodal problem