On the compactness of the set of bounded orbits for a differential system (Q2477944)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the compactness of the set of bounded orbits for a differential system |
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On the compactness of the set of bounded orbits for a differential system (English)
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14 March 2008
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The author finds sufficient conditions for the compactness of the set of bounded conditions of the system \[ {dx\over dt}= y,\quad {dy\over dt}= \theta y-{dV\over dx}, \] where \(\theta\neq 0\), \(V(x)\) is a smooth scalar function.
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compactness of set of bounded solutions of a kind of linear differential equations
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