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Regular and Chaotic Dynamics, 2006, Volume 11, Issue 4, Pages 475–481
DOI: https://doi.org/10.1070/RD2006v011n04ABEH000365 (Mi rcd688) 		 
This article is cited in 20 scientific papers (total in 20 papers)

A note on theorem of Massera

O. Zubelevich

Department of Differential Equations and Mathematical Physics Peoples Friendship University of Russia, 3, Ordzhonikidze str., 117198 Moscow, Russia
Citations (20)
DOI: https://doi.org/10.1070/RD2006v011n04ABEH000365
Abstract: In this paper we consider a discrete dynamical system generated by bounded affine mappings on Banach spaces and on Montel locally convex spaces. We show that if these dynamical systems have bounded trajectories then they have periodic ones. Different applications are considered.
Keywords: Massera criterion, periodic solution, dynamical systems.
Received: 21.05.2006
Accepted: 31.07.2006
Bibliographic databases:
Document Type: Article
MSC: 34G10
Language: English
Citation: O. Zubelevich, “A note on theorem of Massera”, Regul. Chaotic Dyn., 11:4 (2006), 475–481
Citation in format AMSBIB
\Bibitem{Zub06}
\by O. Zubelevich
\paper A note on theorem of Massera
\jour Regul. Chaotic Dyn.
\yr 2006
\vol 11
\issue 4
\pages 475--481
\mathnet{http://mi.mathnet.ru/rcd688}
\crossref{https://doi.org/10.1070/RD2006v011n04ABEH000365}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2292206}
\zmath{https://zbmath.org/?q=an:1164.37314}
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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