Periodic solutions for prescribed mean curvature Liénard equation with a deviating argument (Q425961)
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scientific article; zbMATH DE number 6044743
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions for prescribed mean curvature Liénard equation with a deviating argument |
scientific article; zbMATH DE number 6044743 |
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Periodic solutions for prescribed mean curvature Liénard equation with a deviating argument (English)
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10 June 2012
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prescribed mean curvature Liénard equation
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periodic solutions
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coincidence degree
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deviating argument
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Using coincidence degree theory, this paper is devoted to study the existence of periodic solutions for a prescribed mean curvature Liénard equation with a deviating argument NEWLINE\[NEWLINE\biggl(\frac {x'}{\sqrt{1 + x'{}^2}}\biggr)' + f(x(t)) x' (t) + g(t, x(t - \tau (t)))=e(t),NEWLINE\]NEWLINE where \(g \in C( \mathbb R^2, \mathbb R^1)\), \(f,e\) and \(\tau\) are \(T\)-periodic. The results are illustrated by an example.
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