Reconstruction of the potential in the Sturm-Liouville equation with spectral boundary conditions

Abstract This study examines the Sturm-Liouville equation, focusing on cases where the spectral parameter is included in the boundary conditions. By employing the Hochstadt-Lieberman theorem and the Weyl function, we demonstrate that when the potential is known for the interval ( 0 , π 2 ) $\left (0...

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Bibliographic Details
Main Authors: Yasser Khalili, Nematollah Kadkhoda
Format: Article
Language:English
Published: SpringerOpen 2025-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-025-03347-x
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