Stability and Fixed Points of Point Dissipative Systems.
Abstract
The result requires the stronger assumption of compact dissipative. The principle result of this paper will be to get similar results under the weaker assumption of point dissipative. Need exists to add additional hypotheses on the space and the operator T. These hypotheses are naturally satisfied for stable neutral functional differential equations and retarded functional differential equations of infinite delay. The paper will be divided into four sections. The first will contain various definitions. The second will contain an abstract theorem relating point dissipative in one space to bounded dissipative in another, and to the existence of a fixed point. The third section will apply the result to stable neutral functional differential equations. The final section gives applications to retarded functional differential equations with infinite delay.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1979
- Accession Number
- ADA077410
Entities
People
- Paul Massatt
Organizations
- Brown University