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Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential

DOI: 10.1186/1687-2770-2013-49

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Abstract:

In this paper, we are concerned with inverse problem for Sturm-Liouville operator with Coulomb potential using a new kind of spectral data that is known as nodal points. We give a reconstruction of q as a limit of a sequence of functions whose n th term is dependent only eigenvalue and its associated nodal data. It is mentioned that this method is based on the works of Law and Yang, but we have applied the method for the singular Sturm-Liouville problem.

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