A generalization of Borg's inverse theorem for Hill's equations (Q762329)
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scientific article; zbMATH DE number 3888074
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of Borg's inverse theorem for Hill's equations |
scientific article; zbMATH DE number 3888074 |
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A generalization of Borg's inverse theorem for Hill's equations (English)
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1984
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It is shown that a Hill's equation has a spectrum such that all finite instability intervals whose index is not a multiple of some integer n vanish if and only if the potential q(t) in the equation has period \(\pi\) /n.
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Hill's equation
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spectrum
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