Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem

Yıl 2025, Cilt: 15 Sayı: 1, 308 - 315, 01.03.2025

Merve Arslantaş

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

Öz

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.

Anahtar Kelimeler

Singular Sturm-Liouville Operatör, inverse problem, nodel problem

Kaynakça

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