Some families of pseudo-processes
Volume 60 / 1994
Annales Polonici Mathematici 60 (1994), 33-45
DOI: 10.4064/ap-60-1-33-45
Abstract
We introduce several types of notions of dis persive, completely unstable, Poisson unstable and Lagrange uns table pseudo-processes. We try to answer the question of how many (in the sense of Baire category) pseudo-processes with each of these properties can be defined on the space $ℝ^m$. The connections are discussed between several types of pseudo-processes and their limit sets, prolongations and prolongational limit sets. We also present examples of applications of the above results to pseudo-processes generated by differential equations.
