Display Abstract

Title Principal spectrum estimates in linear nonautonomous order-preserving dynamical systems: A survey

Name Janusz Mierczynski
Country Poland
Email mierczyn@pwr.edu.pl
Co-Author(s) Janusz Mierczy\'nski
Submit Time 2013-12-27 05:40:38
Session
Special Session 19: Nonautonomous dynamics
Contents
For linear nonautonomous strongly order-preserving dynamical systems the principal spectrum plays a role in establishing stability and/or persistence similar to that played by the principal eigenvalue in their autonomous counterparts. Unfortunately, even in the time-periodic case generally there is no relation between the principal spectrum and the principal eigenvalues of the linear operators generating the system. The purpose of this talk is to give a survey of known partial results, as well as present open problems and possible directions of future research.