Eigenvalue problem of Sturm-Liouville systems with separated boundary conditions (Q284800)
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scientific article; zbMATH DE number 6581839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenvalue problem of Sturm-Liouville systems with separated boundary conditions |
scientific article; zbMATH DE number 6581839 |
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Eigenvalue problem of Sturm-Liouville systems with separated boundary conditions (English)
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18 May 2016
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The eigenvalue problem of Sturm-Liouville systems with separated boundary conditions is under consideration in this paper. The Hill-type formula is constructed and consequently the Krein-type trace formula based on the expansion of the Hill-type formula is proven. The trace formula, normally used in estimating the first eigenvalue, is used to estimate the conjugate point along a geodesic in a Riemannian manifold. Some examples for the calculation of the trace formula are considered in the final section of the paper.
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Hill-type formula
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trace formula
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Hamiltonian systems
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Sturm-Liouville systems
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