Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system (Q1760991)
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scientific article; zbMATH DE number 6106432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system |
scientific article; zbMATH DE number 6106432 |
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Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system (English)
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15 November 2012
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The authors study the Dirac system \[ \begin{aligned} &y'_1 (x) - q_2 (x)y_2 (x) = \lambda y_1 (x), \\ &y'_2 (x) - q_1 (x)y_1 (x) = - \lambda y_2 (x)\end{aligned} \] with boundary conditions \[ y_1 (0) = y_2 (0),\,\,\,\,\,y_1 (1) = y_2 (1). \] Using a method based on transformation operator formulas, refined asymptotic formulas for the nonsmooth case are given.
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Dirac system
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Asymptotic formulas
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eigenvalues
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eigenfunctions
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