Almost periodic weak solutions to forced pendulum type equations without friction.
J.-M. Belley, G. Fournier (1992)
Aequationes mathematicae
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Displaying similar documents to “Almost periodic weak solutions to forced pendulum type equations without friction. (Summary).”
Almost periodic weak solutions to forced pendulum type equations without friction.
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The existence of a continuous periodic and almost periodic solutions of the nonlinear integral inclusion is established by means of the generalized Schauder fixed point theorem.
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Integration of asymptotically almost periodic functions and weak asymptotic almost periodicity
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SummaryWe resolve the question as to when an asymptotically almost periodic function with values in a Banach space has an asymptotically almost periodic integral. Further, we characterize the weakly relatively compact sets in spaces of vector valued continuous functions and use the resulting criteria to investigate the relationship between weak almost periodicity in the sense of Eberlein and the parallel notion utilized by Amerio in his approach to extending the classical Bohl-Bohr integration...