| HAL : hal-00662543, version 1 |
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| African Diaspora Journal of Mathematics 12, 2 (2011) 122-133 |
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| Bumps of potentials and almost periodic oscillations. |
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| Joël Blot 1Dhaou Lassoued 1 |
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| (2011) |
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| 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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| 1 : | Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne) (SAMM) |
| Université Paris I - Panthéon-Sorbonne | |
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| Domaine | : | Mathématiques/Systèmes dynamiques |
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| almost periodic function – second-order differential equation – variational methods |
| hal-00662543, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00662543 | |
| oai:hal.archives-ouvertes.fr:hal-00662543 | |
| Contributeur : Joël Blot | |
| Soumis le : Mardi 24 Janvier 2012, 14:13:48 | |
| Dernière modification le : Mardi 24 Janvier 2012, 14:13:48 | |