Negative solutions of the generalized Liénard equation (Q1261771)
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scientific article; zbMATH DE number 408765
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Negative solutions of the generalized Liénard equation |
scientific article; zbMATH DE number 408765 |
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Negative solutions of the generalized Liénard equation (English)
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16 September 1993
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The author considers the equation \(x''+f(x)x'+ g(x)=0\) with \(xf(x)>0\) and \(xg(x)>0\) for \(x\neq 0\). She extends her earlier work on solutions with \(x(t)<0\) for all large \(t\), giving conditions on \(F(x)=\int^ x_ 0 f(s)ds\) under which \(\lim_{t\to-\infty} x'(t)\) is finite.
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Liénard equation
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negative solution
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0.8388004899024963
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0.7946107983589172
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0.7926408052444458
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