<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In paper <xref ref-type="bibr" rid="j_amsil-2016-0004_ref_004_w2aab2b8b6b1b7b1ab1ab4Aa">[4]</xref> there are considered random dynamical systems with randomly chosen jumps acting on Polish spaces. The intensity of this process is a constant <italic>λ</italic>. In this paper we formulate criteria for the existence of an invariant measure and asymptotic stability for these systems in the case when <italic>λ</italic> is not constant but a Lipschitz function.</p></abstract>

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.

Random Dynamical Systems with Jumps and with a Function Type Intensity

Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice,

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Random Dynamical Systems with Jumps and with a Function Type Intensity"}

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....

Random Dynamical Systems with Jumps and with a Function Type Intensity

Published Online: Sep 23, 2016

Page range: 63 - 87

Received: Jan 13, 2016

Accepted: Apr 19, 2016

DOI: https://doi.org/10.1515/amsil-2016-0004

Keywords
dynamical systems, asymptotic stability, Markov operators

© 2016 Joanna Kubieniec, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Random Dynamical Systems with Jumps and with a Function Type Intensity

Published Online: Sep 23, 2016

Page range: 63 - 87

Received: Jan 13, 2016

Accepted: Apr 19, 2016

DOI: https://doi.org/10.1515/amsil-2016-0004

Keywordsdynamical systems, asymptotic stability, Markov operators

© 2016 Joanna Kubieniec, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
dynamical systems, asymptotic stability, Markov operators