A nonlinear Abel equation on the whole line (Q5940134)
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scientific article; zbMATH DE number 1624583
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nonlinear Abel equation on the whole line |
scientific article; zbMATH DE number 1624583 |
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A nonlinear Abel equation on the whole line (English)
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18 September 2002
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nonlinear Volterra integral equation
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blowing up solution
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Hilbert projective metrics method
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nonlinear Abel equation
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0.91531867
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0.9002086
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0.89694387
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0.89246106
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The author investigates some properties of the solutions of the Volterra integral equation NEWLINE\[NEWLINEu(x)=\int_{-\infty}^{x}(x-s)^{\alpha-1}g(u(s)) ds\quad (-\infty<x,\;0<\alpha<1),NEWLINE\]NEWLINE where \(g:[0,\infty)\rightarrow [0,\infty)\) is continuous and nondecreasing with \(g(0)=0\) and \(g(x)>0\) for \(x>0\).
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