Identification of a polynomial in nonsplitting boundary conditions (Q1939460)
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scientific article; zbMATH DE number 6140971
| Language | Label | Description | Also known as |
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| English | Identification of a polynomial in nonsplitting boundary conditions |
scientific article; zbMATH DE number 6140971 |
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Identification of a polynomial in nonsplitting boundary conditions (English)
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4 March 2013
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The paper deals with boundary value problems for the Sturm-Liouville equation on a finite interval, with non-separated boundary conditions, which are dependent on the spectral parameter. Assuming that one of the coefficient in these conditions is a polynomial (in the spectral parameter), the problem is to reconstruct the coefficients of this polynomial from a certain finite set of eigenvalues. The authors present conditions guaranteeing the unique determination of the coefficients.
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Sturm-Liouville operator
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non-separated boundary conditions
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boundary conditions involving spectral parameter
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