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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The 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.
May 16, 2002

Keywords

Dynamical Systems, Analysis of PDEs, primary:34D20, 34D40, 34D45, 58F10, 58F12, 58F39;secondary: 35B35, 35B40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/72459

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409213
 http://arxiv.org/abs/math/0409213

Collections

arXiv