The oscillatory behaviour of the solutions to the equation \(x''+ f(x)x' + s(t,x,x')=0\) (Q2771365)
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scientific article; zbMATH DE number 1705443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The oscillatory behaviour of the solutions to the equation \(x''+ f(x)x' + s(t,x,x')=0\) |
scientific article; zbMATH DE number 1705443 |
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31 October 2002
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oscillatory solution
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second-order differential equation
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The oscillatory behaviour of the solutions to the equation \(x''+ f(x)x' + s(t,x,x')=0\) (English)
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This paper contains sufficient conditions (to complicate to be presented here) for the solutions to the differential equation NEWLINE\[NEWLINEx''+ f(x) x'+ s(t,x,x')= 0NEWLINE\]NEWLINE to be oscillatory, with \(f\in C(\mathbb{R}, \mathbb{R})\) and \(s\in C([t_1,\infty)\times \mathbb{R}\times \mathbb{R},\mathbb{R})\). Two illustrative examples are included.NEWLINENEWLINEFor the entire collection see [Zbl 0969.00044].
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