On the stability of the basis property for a type of eigenvalue problem with nonlocal perturbation of the boundary condition (Q2899325)
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scientific article; zbMATH DE number 6060738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability of the basis property for a type of eigenvalue problem with nonlocal perturbation of the boundary condition |
scientific article; zbMATH DE number 6060738 |
Statements
30 July 2012
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spectral problem
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integral perturbation in boundary condition
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root functions
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Riesz basis
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On the stability of the basis property for a type of eigenvalue problem with nonlocal perturbation of the boundary condition (English)
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The unperturbed problem has an asymptotically simple spectrum, and its system of normalized eigenfunctions creates the Riesz basis. The authors construct the characteristic determinant of the spectral problem with an integral perturbation of the boundary conditions. The perturbed problem can have any finite number of multiple eigenvalues. Therefore, its root subspaces consist of its eigen and (may be) adjoint functions. It is shown that the Riesz basis property of a system of eigen and adjoint functions is stable with respect to integral perturbations of the boundary condition.
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