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On almost periodicity of solutions of second-order differential equations involving reflection of the argument

Article scientifique 2019 Anglais

Résumé

We study almost periodic solutions for a class of nonlinear second-order differential equations involving reflection of the argument. We establish existence results of almost periodic solutions as critical points by a variational approach. We also prove structure results on the set of strong almost periodic solutions, existence results of weak almost periodic solutions, and a density result on the almost periodic forcing term for which the equation possesses usual almost periodic solutions.

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Wang, P., Lassoued, D., Abbas, S., Zada, A., Li, T. (2019). On almost periodicity of solutions of second-order differential equations involving reflection of the argument. https://doi.org/10.1186/s13662-018-1938-7

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Auteur(s)

Peiguang Wang Dhaou Lassoued Syed Abbas Akbar Zada Tongxing Li

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