The generalized Liénard polynomial differential systems \(x^\prime = y\), \(y^\prime = - g(x) - f(x) y\) with \(\deg g = \deg f + 1\) are not Liouvillian integrable (Q1756316)
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scientific article; zbMATH DE number 7001142
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The generalized Liénard polynomial differential systems \(x^\prime = y\), \(y^\prime = - g(x) - f(x) y\) with \(\deg g = \deg f + 1\) are not Liouvillian integrable |
scientific article; zbMATH DE number 7001142 |
Statements
The generalized Liénard polynomial differential systems \(x^\prime = y\), \(y^\prime = - g(x) - f(x) y\) with \(\deg g = \deg f + 1\) are not Liouvillian integrable (English)
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14 January 2019
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Darboux polynomials
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exponential factors
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Liouvillian first integrals
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Liénard polynomial differential systems
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