Bounded and almost automorphic solutions of a Liénard equation with a singular nonlinearity
We study some properties of bounded and $C^{(1)}$-almost automorphic solutions of the following Li\'enard equation: $$x'' + f(x)x' + g(x) = p(t), $$ where $p : {\bf R} \longrightarrow {\bf R}$ is an almost automorphic function, $f$, $g : (a,b) \longrightarrow {\bf R}$ are contin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2008-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=312 |
| Summary: | We study some properties of bounded and $C^{(1)}$-almost automorphic solutions of the following Li\'enard equation: $$x'' + f(x)x' + g(x) = p(t), $$ where $p : {\bf R} \longrightarrow {\bf R}$ is an almost automorphic function, $f$, $g : (a,b) \longrightarrow {\bf R}$ are continuous functions and $g$ is strictly decreasing. |
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| ISSN: | 1417-3875 |