On a classical problem with a complex-valued coefficient and the spectral parameter in a boundary condition (Q1935409)
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scientific article; zbMATH DE number 6136687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a classical problem with a complex-valued coefficient and the spectral parameter in a boundary condition |
scientific article; zbMATH DE number 6136687 |
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On a classical problem with a complex-valued coefficient and the spectral parameter in a boundary condition (English)
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15 February 2013
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The author studies the completeness, minimality and basis property of the system of root functions of the spectral problem \[ u''(x) + \lambda u(x) = 0,\quad x \in (0,1) \tag{1} \] \[ u(0) = 0,\;u'(1) = d\lambda u(1), \tag{2} \] where \(d\) is an arbitrary nonzero complex number.
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completeness
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minimality
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system of root functions
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spectral problem
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