On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems (Q2453852)
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scientific article
| Language | Label | Description | Also known as |
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| English | On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems |
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On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems (English)
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11 June 2014
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The Sturm-Liouville equation is studied with boundary conditions dependent on the spectral parameter and discontinuity conditions in a finite number of points inside the interval. For this boundary value problem, the authors prove a Hochstadt-Lieberman theorem: the potential, given on the half of the interval, together with the spectrum determines the potential on the other half of the interval uniquely.
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half inverse problem
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Sturm-Liouville operator
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potential
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interior discontinuity
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boundary condition dependent on the spectral parameter
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Hochstadt-Lieberman theorem
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0.90154743
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0.9006382
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0.8996111
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0.8953836
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0.8926765
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