Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem

Year 2025, Volume: 15 Issue: 1, 308 - 315, 01.03.2025

Merve Arslantaş

https://doi.org/10.21597/jist.1525499

Abstract

Inverse nodal problems has been studied for Sturm-Liouville equations with point δ coaction. First, the eigenvalues of the problem are obtained. Then, the solution of the inverse problem is given by obtaining potential function and the parameters in the boundary conditions with the help of a dense set of nodal points. Lastly, the uniqueness theorem is proven and a constructive procedure for solutions is provided.

Keywords

Singular Sturm-Liouville Operatör, inverse problem, nodel problem

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