Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2004

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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hal-00179489 , version 1 (04-04-2025)

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  • HAL Id : hal-00179489 , version 1

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Philippe Cieutat. On the structure of the set of bounded solutions on an almost periodic Liénard equation. Nonlinear Analysis: Theory, Methods and Applications, 2004, 58, pp.885-898. ⟨hal-00179489⟩
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