Title: General Inverse Sturm-Liouville Problem with Symmetric Potential
Abstract: The uniqueness theorems for an inverse nonselfadjoint Sturm-Liouville problem withsymmetric potential and general boundary conditions are proved. The spectral data using forunique reconstruction of Sturm-Liouville problems are a spectrum and six eigenvalues. The uniquenesstheorems for an inverse selfadjoint Sturm-Liouville problem with symmetric potential andnonseparated boundary conditions are proved also. These theorems use a spectrum and two (orthree) eigenvalues for unique reconstruction of Sturm-Liouville problems. The theorems generaliseG. Borg and N.Levinson classical results to the case Sturm-Liouville problem with general boundaryconditions. Schemes for unique reconstruction of the Sturm-Liouville Problems with symmetricpotential and general boundary conditions are given.
Publication Year: 2015
Publication Date: 2015-04-08
Language: en
Type: article
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Cited By Count: 13
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