Inverse spectral problems for Sturm-Liouville operators with singular potentials. Part III: Reconstruction by three spectra |
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| Authors: | R.O. Hryniv Ya.V. Mykytyuk |
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| Affiliation: | a Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova st., 79601 Lviv, Ukraine
b Lviv National University, 1 Universytetska st., 79602 Lviv, Ukraine |
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| Abstract: | We solve the inverse spectral problem of recovering the singular potential from W−12(0,1) of a Sturm-Liouville operator by its spectra on the three intervals [0,1], [0,a], and [a,1] for some a∈(0,1). Necessary and sufficient conditions on the spectral data are derived, and uniqueness of the solution is analyzed. |
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| Keywords: | Inverse spectral problems Sturm-Liouville operators Singular potentials |
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