On the structure of the set of bounded solutions on an almost periodic Liénard equation Original Research Article

We study some properties of bounded solutions on (0,+∞) of the following almost periodic Liénard equation: x″+f(x)x′+g(x)=p(t), where View the MathML source is almost periodic function and View the MathML source is strictly decreasing function. Notably, we describe the set of initial conditions of the bounded solutions on (0,+∞) and we state that these solutions are asymptotically almost periodic.