Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions

A. Sİnan Ozkan; İbrahİm Adalar

doi:10.1016/j.jmaa.2022.126904

paper

Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions

arXiv:2202.03336 · doi:10.1016/j.jmaa.2022.126904

Abstract

In this paper, a Sturm--Liouville problem with some nonlocal boundary conditions of the Bitsadze-Samarskii type is studied. We show that the coefficients of the problem can be uniquely determined by a dense set of nodal points. Moreover, we give an algorithm for the reconstruction of the potential function and some other coefficients in the boundary conditions.