Discrete Dissipative Processes.
Abstract
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1976
- Accession Number
- ADA028152
Entities
People
- Jack K. Hale
Organizations
- Brown University