Mathematical Methods in the Applied Sciences, cilt.47, sa.11, ss.9067-9083, 2024 (SCI-Expanded)
In this study, some properties of the pencils of singular Sturm–Liouville operators are investigated. Firstly, the behaviors of eigenvalues and eigenfunctions is learned, then for each discontinuity point (Formula presented.) a solution of the inverse problem is given to determine the potential function and parameters (Formula presented.), and (Formula presented.) with the help of a dense set of nodes. And finally, a constructive method is given for solving the given inverse problem.