Random dynamical systems with jumps and with a function type intensity

Journal Title: Annales Mathematicae Silesianae - Year 2016, Vol 30, Issue

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 $\lambda$. In this paper we formulate criteria for the existence of an invariant measure and asymptotic stability for these systems in the case when $\lambda$ is not constant but a Lipschitz function.

Authors and Affiliations

Joanna Kubieniec

Keywords

Related Articles

A general fixed point theorem for implicit cyclic multi-valued contraction mappings

In this paper, a general fixed point theorem for cyclic multi-valued mappings satisfying an implicit relation from [19] different from implicit relations used in [13] and [23], generalizing some results from [22], [15],...

Inequalities of Hermite–Hadamard type for GA-convex functions

Some inequalities of Hermite–Hadamard type for GA-convex functions defined on positive intervals are given.

A generalization of m-convexity and a sandwich theorem

Functional inequalities generalizing m-convexity are considered. A result of a sandwich type is proved. Some applications are indicated.

The space of real places on ℝ(x, y)

The space $M(ℝ(x, y))$ of real places on $ℝ(x, y)$ is shown to be path-connected. The possible value groups of these real places are determined and for each one it is shown that the set of real places with that value gro...

Alienation of the Jensen, Cauchy and d’Alembert equations

Let $(S,+)$ be a commutative semigroup, $\sigma : S \to S$ be an endomorphism with $\sigma^2 = id$ and let $K$ be a field of characteristic different from 2. Inspired by the problem of strong alienation of the Jensen eq...

Download PDF file
  • EP ID EP230424
  • DOI 10.1515/amsil-2016-0004
  • Views 132
  • Downloads 0

How To Cite

Joanna Kubieniec (2016). Random dynamical systems with jumps and with a function type intensity. Annales Mathematicae Silesianae, 30(), 63-87. https://europub.co.uk/articles/-A-230424