On eigenfunction expansions for a class of irregular quadratic pencils of second-order differential operators (Q2032386)
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scientific article; zbMATH DE number 7357849
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On eigenfunction expansions for a class of irregular quadratic pencils of second-order differential operators |
scientific article; zbMATH DE number 7357849 |
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On eigenfunction expansions for a class of irregular quadratic pencils of second-order differential operators (English)
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11 June 2021
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In the twice summable functions space a quadratic pencil of second-order differential operators with constant coefficients and separated boundary conditions, containing the spectral parameter, is considered. The conditions for the coefficients of the pencil and the vector-function \(f\), for which there is a two-fold expansion of \(f\) into biorthogonal Fourier series in terms of pencil eigenfunctions are found.
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quadratic pencil
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differential operator
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second order
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irregular pencil
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eigenvalues
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eigenfunction expansion
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two-fold expansion
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