In paper [4] there are considered random dynamical systems with randomly chosen jumps acting on Polish spaces. The intensity of this process is a constant λ. In this paper we formulate criteria for the existence of an invariant measure and asymptotic stability for these systems in the case when λ is not constant but a Lipschitz function.
@article{bwmeta1.element.doi-10_1515_amsil-2016-0004,
author = {Joanna Kubieniec},
title = {Random Dynamical Systems with Jumps and with a Function Type Intensity},
journal = {Annales Mathematicae Silesianae},
volume = {30},
year = {2016},
pages = {63-87},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0004}
}
Joanna Kubieniec. Random Dynamical Systems with Jumps and with a Function Type Intensity. Annales Mathematicae Silesianae, Tome 30 (2016) pp. 63-87. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0004/