Exact rate of decay for solutions to damped second order ODE's with a degenerate potential (Q1711895)
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scientific article; zbMATH DE number 7003573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact rate of decay for solutions to damped second order ODE's with a degenerate potential |
scientific article; zbMATH DE number 7003573 |
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Exact rate of decay for solutions to damped second order ODE's with a degenerate potential (English)
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18 January 2019
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The author establishes the exact rate of decay for solutions to a class of second order ordinary differential equations with degenerate potentials, in particular, for potential functions that grow with different powers in different directions in a neigborhood of zero. At the same time, the author derives some decay estimates for scalar second order equations with non-autonomous damping.
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rate of convergence to equilibrium
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second order equation with damping
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non-autonomous decay
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0.92857933
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0.9220004
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0.9079195
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0.9055474
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0.90328246
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0.9022803
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0.8995226
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