Asymptotics of any order for the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem on a segment with a summable potential (Q2710695)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics of any order for the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem on a segment with a summable potential |
scientific article |
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17 December 2002
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Sturm-Liouville boundary value problem
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asymptotics for eigenvalues and eigenfunctions
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Asymptotics of any order for the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem on a segment with a summable potential (English)
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The authors consider a Sturm-Liouville boundary value problem on a segment. Explicit asymptotics for the eigenvalues and eigenfunctions are derived under the assumption that the potential is a summable function with certain differential properties. This eigenvalue problem is used for mathematical modeling of physical processes, like in quantum mechanics. The current approach provides important information for problems with discontinuous potentials.
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