Generalization of the Second Bogolyubov's Theorem for Non-Almost Periodic Systems

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dc.creatorCheban, David N.
dc.creatorDuan, Jinqiao
dc.creatorGherco, Anatoly
dc.date2004-09-13
dc.date.accessioned2026-07-07T05:12:05Z
dc.date.available2026-07-07T05:12:05Z
dc.descriptionThe article is devoted to the generalization of the second Bogolyubov's theorem to non-almost periodic dynamical systems. We prove the analog of the second Bogolyubov's theorem for recurrent or pseudo recurrent dynamical systems in Banach spaces. Namely, we obtain the relation between a recurrent dynamical system and its averaged dynamical system. We also study existence of recurrent and pseudo recurrent motions (including special cases of periodic, quasi-periodic and almost periodic motions) in related nonautonomous systems.
dc.descriptionMay 16, 2002
dc.identifierhttps://arxiv.org/abs/math/0409213
dc.identifierhttp://arxiv.org/abs/math/0409213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72459
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subjectprimary:34D20, 34D40, 34D45, 58F10, 58F12, 58F39;secondary: 35B35, 35B40
dc.titleGeneralization of the Second Bogolyubov's Theorem for Non-Almost Periodic Systems
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