Geodesic
Boundedness of solutions for a Liénard equation with multiple deviating arguments
Electronic journal of differential equations, Tome 2009 (2009)
We consider the Lienard equation

$ x''(t)+f_1 (x(t)) (x'(t))^{2}+f_2 (x(t)) x'(t)+g_0(x(t)) +\sum_{j=1}^{m} g_{j}(x(t-\tau_{j}(t)))=p(t), $

where $f_1, f_2, g_1 $ and $g_2$ are continuous functions, the delays $\tau_j(t)\geq 0$ are bounded continuous, and $p(t)$ is a bounded continuous function. We obtain sufficient conditions for all solutions and their derivatives to be bounded.
Classification : 34C25, 34K13, 34K25
Keywords: Liénard equation, deviating argument, bounded solution 
@article{EJDE_2009__2009__a0,
     author = {Yu,  Yuehua and Zhao,  Changhong},
     title = {Boundedness of solutions for a {Li\'enard} equation with multiple deviating arguments},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1171.34339},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a0/}
}
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AU  - Zhao,  Changhong
TI  - Boundedness of solutions for a Liénard equation with multiple deviating arguments
JO  - Electronic journal of differential equations
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%A Zhao,  Changhong
%T Boundedness of solutions for a Liénard equation with multiple deviating arguments
%J Electronic journal of differential equations
%D 2009
%V 2009
%U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a0/
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Yu,  Yuehua; Zhao,  Changhong. Boundedness of solutions for a Liénard equation with multiple deviating arguments. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a0/