Abstract
The aim of this paper is to examine the stability of a class of nonlinear stochastic operators on a finite-dimensional simplex. We identify a number of properties of the set of the class of stochastic operators, including the stability of each operator. We then use these operators to define non-homogeneous Markov measures that rely on initial data and carry out an investigation into the absolute continuity and singularity of these measures.
Original language | English |
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Pages (from-to) | 13300-13312 |
Number of pages | 13 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 47 |
Issue number | 17 |
DOIs | |
Publication status | Published - Nov 30 2024 |
Keywords
- Markov measure
- mathematical model
- singularity
- stability
- stochastic system
ASJC Scopus subject areas
- General Mathematics
- General Engineering