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Once more on quasiperiodic solutions of quasiperiodic dynamical systems. (Italian. English summary) Zbl 0727.34035
Summary: After introducing the notion of “normal function with respect to a set of numbers” we show first that every normal solution with respect to the set \(\{\tau \}^+_{\epsilon_ 1f}\) of the positive \(\epsilon\)- quasiperiods of a given dynamic quasiperiodic system is asymptotically quasiperiodic, and conversely. Moreover we prove that every normal solution with respect to \(\{\tau \}^+_{\epsilon_ 1f}\) is always related to a quasiperiodic solution of a given dynamic quasiperiodic system.
MSC:
34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations
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