Inverse nodal problems for singular diffusion equation
Rauf Amirov,
Sevim Durak
Abstract: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
a solution of the inverse problem is given to determine the potential function and parameters
, and
with the help of a dense set of nodes. And finally, a constructive method is given for solving the given inverse problem.
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