Dynamics of nonlinear stochastic operators and associated Markov measures

Uygun Jamilov; Farrukh Mukhamedov; Farzona Mukhamedova; Abdessatar Souissi

doi:10.1002/mma.10191

Dynamics of nonlinear stochastic operators and associated Markov measures

Uygun Jamilov
, Farrukh Mukhamedov
, Farzona Mukhamedova
, Abdessatar Souissi

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	13300-13312
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	47
Issue number	17
DOIs	https://doi.org/10.1002/mma.10191
Publication status	Published - Nov 30 2024

Keywords

Markov measure
mathematical model
singularity
stability
stochastic system

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.10191

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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.",

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author = "Uygun Jamilov and Farrukh Mukhamedov and Farzona Mukhamedova and Abdessatar Souissi",

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T1 - Dynamics of nonlinear stochastic operators and associated Markov measures

AU - Jamilov, Uygun

AU - Mukhamedov, Farrukh

AU - Mukhamedova, Farzona

AU - Souissi, Abdessatar

PY - 2024/11/30

Y1 - 2024/11/30

N2 - 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.

AB - 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.

KW - Markov measure

KW - mathematical model

KW - singularity

KW - stability

KW - stochastic system

UR - https://www.scopus.com/pages/publications/85193397361

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DO - 10.1002/mma.10191

M3 - Article

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 17

ER -

Dynamics of nonlinear stochastic operators and associated Markov measures

Abstract

Keywords

ASJC Scopus subject areas

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