Spectral properties and inverse nodal problems for singular diffusion equation

Year 2024, Volume: 53 Issue: 4, 952 - 962, 27.08.2024

Rauf Amirov , Sevim Durak

https://doi.org/10.15672/hujms.1254445

https://izlik.org/JA32XL49MF

Abstract

In this study, some properties for the pencils of singular Sturm-Liouville operators are investigated. Firstly, the behaviors of eigenvalues were learned, then the solutions of the inverse problem were given to determine the potential function and parameters of the boundary condition with the help of a dense set of nodal points and lastly we obtain a constructive solution to the inverse problems of this class.

Keywords

singular diffusion equation , inverse spectral problems , inverse nodal problems

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