Conjecture on the interlacing of zeros in complex Sturm-Liouville problems (Q2738193)
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scientific article; zbMATH DE number 1639358
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conjecture on the interlacing of zeros in complex Sturm-Liouville problems |
scientific article; zbMATH DE number 1639358 |
Statements
30 August 2001
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complex Sturm-Liouville problem
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eigenfunctions
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zeros
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Conjecture on the interlacing of zeros in complex Sturm-Liouville problems (English)
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The paper reports on a numerical investigation of whether the zeros of the eigenfunctions of Sturm-Liouville problems with a complex potential exhibit some kind of interlacing properties. Three examples are considered, and on the strength of the findings, it is conjectured that the pattern achieved in these examples is valid in the general case. The implication for the completeness of the set of eigenfunctions is discussed.
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