Inverse problem for a quadratic pencil of Sturm-Liouville operators with finite-gap periodic potential on the half-line (Q2480482)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inverse problem for a quadratic pencil of Sturm-Liouville operators with finite-gap periodic potential on the half-line |
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Inverse problem for a quadratic pencil of Sturm-Liouville operators with finite-gap periodic potential on the half-line (English)
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31 March 2008
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The inverse spectral problem is studied for the differential equation \[ -y''+q(x)y+2\lambda p(x)y-\lambda^2 y=0,\; x>0, \] where \(p\) and \(q\) are real finite-gap periodic functions. The system of Dubrovin-Trubowitz equations is derived, and the corresponding trace formulae are obtained.
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pencils of differential operators
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inverse spectral problem
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trace formulae
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