Approximation of the symmetric spectral problems with nonlinear dependence on a parameter (Q1902778)
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scientific article; zbMATH DE number 820010
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of the symmetric spectral problems with nonlinear dependence on a parameter |
scientific article; zbMATH DE number 820010 |
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Approximation of the symmetric spectral problems with nonlinear dependence on a parameter (English)
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14 December 1995
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We study the questions of solvability and approximation for eigenvalue problems with a selfadjoint compact operator depending nonlinearly on a spectral parameter. The obtained results are a generalization of well-known results [see, e.g., \textit{S. H. Gould}, ``Variational methods for eigenvalue problems'', London (1966; Zbl 0156.12401)]\ concerning linear spectral problems with selfadjoint compact operators in a Hilbert space.
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solvability
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approximation
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eigenvalue problems
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selfadjoint compact operator depending nonlinearly on a spectral parameter
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