Iterative roots of exclusive multifunctions
Dynamical Systems
2021-09-29 v2 Functional Analysis
Abstract
In this paper we investigate iterative roots of strictly monotone upper semi-continuous multifunctions having finitely many jumps. Known results are concerning roots of order 2 for multifunctions of exact one jump. For the general investigation, we introduce a concept `intensity' to formulate the growth of jumps under iteration and find a class of strictly monotone and upper semi-continuous multifunctions of intensity 1, called exclusive multifunctions, each of which has an absorbing interval. Then we use the absorbing interval to construct iterative roots of order for those exclusive multifunctions.
Cite
@article{arxiv.2011.13543,
title = {Iterative roots of exclusive multifunctions},
author = {Liu Liu and Lin Li and Weinian Zhang},
journal= {arXiv preprint arXiv:2011.13543},
year = {2021}
}
Comments
accepted in Journal of Difference Equations and Applications