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Poincaré's recurrence theorem for set-valued dynamical systems

Jean-Pierre Aubin, Hélène Frankowska, Andrzej Lasota (1991)

Annales Polonici Mathematici

 Abstract. The existence theorem of an invariant measure and Poincare's Recurrence Theorem are extended to set-valued dynamical systems with closed graph on a compact metric space.

Polynomial set-valued functions

Joanna Szczawińska (1996)

Annales Polonici Mathematici

The aim of this paper is to give a necessary and sufficient condition for a set-valued function to be a polynomial s.v. function of order at most 2.

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