Bumps of potentials and almost periodic oscillations. - Archive ouverte HAL
Article Dans Une Revue African Diaspora Journal of Mathematics Année : 2011

Bumps of potentials and almost periodic oscillations.

Résumé

We establish the existence of a Besicovitch almost periodic solution of a second-order differential equation, u''(t) + DV(u(t),t) = 0, in a Hilbert space, when the potential V(.,t) possesses a bump surrounded by a hollow. We use a variational method on a Hiolbert space of Besicovitch almost periodic functions.
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Dates et versions

hal-00662543 , version 1 (24-01-2012)

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  • HAL Id : hal-00662543 , version 1

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Joël Blot, Dhaou Lassoued. Bumps of potentials and almost periodic oscillations.. African Diaspora Journal of Mathematics, 2011, 12 (2), pp.122-133. ⟨hal-00662543⟩
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