Orbital Compactness and Asymptotic Behavior of Nonlinear Parabolic Systems with Functionals.
Abstract
In recent years, reaction-diffusion systems have become widely used as models in biology, chemistry and population dynamics. A major point of interest is the long-time behavior of the solutions. For systems governed by ordinary differential equations the asymptotic behavior is usually investigated using Liapunov functionals in conjunction with an invariance principle. The purpose of this paper is to extend these methods to a general class of distributed systems that admit possible hysteresis effects in the reaction mechanism. Keywords: Nonlinear functions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1986
- Accession Number
- ADA167486
Entities
People
- Reinhard Redlinger
Organizations
- University of Wisconsin–Madison