Dynamics of nonlinear stochastic operators and associated Markov measures

Uygun Jamilov, Farrukh Mukhamedov, Farzona Mukhamedova, Abdessatar Souissi

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)13300-13312
Number of pages13
JournalMathematical Methods in the Applied Sciences
Volume47
Issue number17
DOIs
Publication statusPublished - Nov 30 2024

Keywords

  • Markov measure
  • mathematical model
  • singularity
  • stability
  • stochastic system

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering

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