Measurable process selection theorem and non-autonomous inclusions
Dynamical Systems
2017-07-21 v1 Analysis of PDEs
Classical Analysis and ODEs
Chaotic Dynamics
Abstract
A semi-process is an analog of the semi-flow for non-autonomous differential equations or inclusions. We prove an abstract result on the existence of measurable semi-processes in the situations where there is no uniqueness. Also, we allow solutions to blow up in finite time and then obtain local semi-processes.
Cite
@article{arxiv.1707.06251,
title = {Measurable process selection theorem and non-autonomous inclusions},
author = {Jorge E. Cardona and Lev Kapitanski},
journal= {arXiv preprint arXiv:1707.06251},
year = {2017}
}