Bounded and almost automorphic solutions of a Li�nard equation with a singular nonlinearity
P. Cieutat, Universit� Versailles-Saint-Quentin-en-Yvelines, Versailles cedex, France
S. Fatajou, Universit� de Cadi Ayyad, Marrakech, Morocco
G. M. N'Gu�r�kata, Morgan State University, E. Cold Spring Lane, Baltimore, MD, U.S.A.
E. J. Qualitative Theory of Diff. Equ., No. 21. (2008), pp. 1-15.
Communicated by S. Murakami. | Received on 2008-02-03 Appeared on 2008-05-25 |
Abstract: 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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