Eigenvalues of strings and cylinders with variable mass density (Q1576544)
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scientific article; zbMATH DE number 1491337
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenvalues of strings and cylinders with variable mass density |
scientific article; zbMATH DE number 1491337 |
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Eigenvalues of strings and cylinders with variable mass density (English)
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12 June 2001
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The author proves some sharp inequalities for the frequencies of vibration of strings and cylindrical membranes, under either fixed or fixed-free boundary conditions. He obtains also such inequalities on the generalized cylinder, which is in fact the cross-product of an interval with a homogeneous Riemannian manifold.
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eigenvalues
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strings
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generalized cylinder
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0.89889634
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0.88613176
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0.8812635
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0.8676224
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0.85822487
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0.8565362
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0.85520023
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0.8488962
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