Discrete Dissipative Processes.
BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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A discrete dynamical system is a continuous mapping of a Banach space into itself. This mapping could correspond to the period map of a periodic differential equation in a Banach space or a functional differential equation of retarded or neutral type. The purpose of this paper is to summarize known results on such discrete systems when the map T is dissipative that is, there is a bounded set which attracts trajectories. The results are given under weaker hypotheses than usual and new implications on stability and convergent systems are given.
- Theoretical Mathematics