Pré-Publication, Document De Travail Année : 2006

Boundedness and stability for the damped and forced single well Duffing equation

Alain Haraux
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Résumé

By using differential inequalities we improve some estimates of W.S.LOUD for the ultimate bound and asymptotic stability of the solutions to the Duffing equation u'' + cu' + g(u) = ƒ (t) where c > 0, ƒ is measurable and essentially bounded,and g is continuously differentiable with C 1 with g' ≥ b > 0.

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Dates et versions

hal-00112140 , version 1 (08-11-2006)

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  • HAL Id : hal-00112140 , version 1

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Alain Haraux. Boundedness and stability for the damped and forced single well Duffing equation. 2006. ⟨hal-00112140⟩
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