On the structure of the set of bounded solutions on an almost periodic Liénard equation
Résumé
We study some properties of bounded solutions on (0; +∞) of the following almost periodic Lie$nard equation: x′′ + f(x)x′ + g(x) = p(t); where p : R → R is almost periodic function and g : (a; b) → R 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.
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