A note on theorem of Massera. (English) Zbl 1164.37314
Summary: 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.
MSC:
37C99 | Smooth dynamical systems: general theory |
34C25 | Periodic solutions to ordinary differential equations |