Spectral problems for impulsive Dirac operators with spectral parameters entering via polynomials in the boundary and discontinuity conditions (Q2910400)
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scientific article; zbMATH DE number 6080699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral problems for impulsive Dirac operators with spectral parameters entering via polynomials in the boundary and discontinuity conditions |
scientific article; zbMATH DE number 6080699 |
Statements
11 September 2012
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Dirac operator
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spectrum
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discontinuous condition
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eigenvalues
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0.89027214
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0.88936687
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0.8822817
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0.8811961
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0.8811212
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0.87960887
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0.8773912
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0.87496597
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Spectral problems for impulsive Dirac operators with spectral parameters entering via polynomials in the boundary and discontinuity conditions (English)
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The author investigates the properties of eigenvalues of Dirac operators with spectral parameters entering via polynomials in the boundary as well as in the discontinuity conditions.NEWLINENEWLINE The characteristic equation for the Dirac differential equation and the given boundary and discontinuity conditions, is expressed as an analytic function in \(\lambda\) whose zeros are the problem's eigenvalues. The asymptotic relations for this characteristic function for other cases can similarly be obtained.
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