On the Emden--Fowler equation \(u^{\prime\prime}-|u|^{p-1}u=0\) (Q2492422)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Emden--Fowler equation \(u^{\prime\prime}-|u|^{p-1}u=0\) |
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On the Emden--Fowler equation \(u^{\prime\prime}-|u|^{p-1}u=0\) (English)
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9 June 2006
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The author investigates the initial value problem for the ordinary differential equation \(u''-| u| ^{p-1}u=0\). He obtains several quite explicit results (too complicated to be stated here) concerning blow-up, blow-up rate, life span, stability, zeros and critical points.
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blow-up
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instability
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life-span
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Emden-Fowler equation
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