Accession Number:

ADA028152

Title:

Discrete Dissipative Processes.

Descriptive Note:

Interim rept.,

Corporate Author:

BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

Report Date:

1976-01-01

Pagination or Media Count:

24.0

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE