Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions
Analysis of PDEs
2022-12-07 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.2202.03336,
title = {Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions},
author = {A. Sİnan Ozkan and İbrahİm Adalar},
journal= {arXiv preprint arXiv:2202.03336},
year = {2022}
}