06-131 Oleg Zubelevich

The Massera Theorem in Banach Space (200K, pdf) Apr 25, 06

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Abstract. In the present paper we consider a discrete dynamical system generated by a bounded affine mapping on a Banach space or on a Montel locally convex space. We show that if this dynamical system has a bounded trajectory then it has a periodic one. Different applications are considered.

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