On the asymptotics of the spectrum of a nonsemibounded vector Sturm--Liouville operator (Q1002803)
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scientific article; zbMATH DE number 5519863
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotics of the spectrum of a nonsemibounded vector Sturm--Liouville operator |
scientific article; zbMATH DE number 5519863 |
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On the asymptotics of the spectrum of a nonsemibounded vector Sturm--Liouville operator (English)
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26 February 2009
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Considering the vector Sturm--Liouville operator \[ L=-d^2/dx^2+Q \] in the Hilbert space \(L_2[0,+\infty)\), where \(Q\) is a continuous function ranging in the set of Hermitian matrices, the authors give an asymptotic formula for the spectrum of such an operator with a potential unbounded below.
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Sturm-Liouville operator
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spectrum
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asymptotics
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