Reconstruction of the nonlocal Sturm-Liouville operator with boundary conditions depending on the parameter

Year 2024, Volume: 53 Issue: 2, 314 - 320, 23.04.2024

İbrahim Adalar , Ahmet Sinan Özkan

https://doi.org/10.15672/hujms.1244992

Abstract

In the present paper, we consider the Sturm--Liouville equation with nonlocal boundary conditions depending polynomially on the parameter. We obtain a result and give an algorithm for the reconstruction of the coefficients of the problem using asymptotics of the nodal points.

Keywords

nodal points, Sturm-Liouville equation, nonlocal boundary conditions, inverse problem

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