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arXiv · 2202.03336

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

A. Sİnan Ozkan·İbrahİm Adalar
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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.

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A. Sİnan Ozkan, İbrahİm Adalar. 2022-02-07. Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions. https://doi.org/10.1016/j.jmaa.2022.126904

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