On the reconstruction of the potential in the inverse problem for a power of the Sturm--Liouville operator (Q2487440)
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| Language | Label | Description | Also known as |
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| English | On the reconstruction of the potential in the inverse problem for a power of the Sturm--Liouville operator |
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On the reconstruction of the potential in the inverse problem for a power of the Sturm--Liouville operator (English)
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5 August 2005
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The author proves the existence and uniqueness of the solution for the inverse problem of spectral analysis for a power of the Sturm-Liouville operator on an interval with power \(\alpha> 3/4\) and a quadratically summable, complex-valued, nonsymmetric potential. In this case, the potential is reconstructed by the mix of four spectra or by two spectra. Moreover, the stability of solutions of the inverse problem is studied.
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