An inverse problem for differential pencils on graphs with a cycle (Q470248)
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scientific article; zbMATH DE number 6368616
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An inverse problem for differential pencils on graphs with a cycle |
scientific article; zbMATH DE number 6368616 |
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An inverse problem for differential pencils on graphs with a cycle (English)
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12 November 2014
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Second order differential equations with quadratic dependence on the eigenparameter are considered on compact graphs with a cycle. Using the ideas of the method of spectral mappings the following inverse problem is solved: To given spectral data, the potentials (or coefficients of the differential equations) can be recovered. Uniqueness is proved for this inverse problem and an algorithm is provided for constructing its solution.
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graphs with a cycle
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inverse problem
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quadratic dependence on spectral parameter
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