Inverse problems for the quadratic pencil of the Sturm-Liouville equations with impulse (Q369890)
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scientific article; zbMATH DE number 6209267
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inverse problems for the quadratic pencil of the Sturm-Liouville equations with impulse |
scientific article; zbMATH DE number 6209267 |
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Inverse problems for the quadratic pencil of the Sturm-Liouville equations with impulse (English)
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19 September 2013
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Sturm-Liouville operators
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inverse spectral problems
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uniqueness theorems
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Inverse spectral problems are studied for the boundary value problem \(L\) of the form NEWLINE\[NEWLINE y''+(\lambda^2-2\lambda p(x)-q(x))y=0,\; y'(0)=y(\pi)=0,NEWLINE\]NEWLINE with jump conditions in an interior point \(a\in (\pi/2,\pi).\) Uniqueness theorems are provided for inverse problems of recovering \(L\) from the given Weyl function, spectral data and two spectra, respectively.
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