Random Operators and Stochastic Equations

Published by De Gruyter

Volume 29 Issue 2

Issue of Random Operators and Stochastic Equations

Contents
Journal Overview

Publicly Available June 1, 2021

Frontmatter

Page range: i-iv

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April 2, 2021

Existence results for a class of random delay integrodifferential equations

Amadou Diop, Mamadou Abdul Diop, K. Ezzinbi

Page range: 79-86

Abstract

In this paper, we consider a class of random partial integro-differential equations with unbounded delay. Existence of mild solutions are investigated by using a random fixed point theorem with a stochastic domain combined with Schauder’s fixed point theorem and Grimmer’s resolvent operator theory. The results are obtained under Carathéodory conditions. Finally, an example is provided to illustrate our results.

April 2, 2021

Stability of stochastic differential equations driven by multifractional Brownian motion

Oussama El Barrimi, Youssef Ouknine

Page range: 87-96

Abstract

Our aim in this paper is to establish some strong stability results for solutions of stochastic differential equations driven by a Riemann–Liouville multifractional Brownian motion. The latter is defined as a Gaussian non-stationary process with a Hurst parameter as a function of time. The results are obtained assuming that the pathwise uniqueness property holds and using Skorokhod’s selection theorem.

April 2, 2021

Analysis on stochastic predator-prey model with distributed delay

C. Gokila, M. Sambath

Page range: 97-110

Abstract

In the present work, we consider a stochastic predator-prey model with disease in prey and distributed delay. Firstly, we establish sufficient conditions for the extinction of the disease and also permanence of healthy prey and predator. Besides, we obtain the condition for the existence of an ergodic stationary distribution through the stochastic Lyapunov function. Finally, we provide some numerical simulations to validate our theoretical findings.

April 30, 2021

VICTORIA transform, RESPECT and REFORM methods for the proof of the G-permanent pencil law under G-Lindeberg condition for some random matrices from G-elliptic ensemble

Vyacheslav L. Girko

Page range: 111-148

Abstract

The G -pencil law under the G -Lindeberg condition for a random matrix is proven.

About this journal

Objective
Random Operators and Stochastic Equations is devoted to the theory of random operators and stochastic analysis. Contributions on theoretical aspects, as well as on physical and technical applications are considered for publication.

Topics

general theory of linear random operators,
theory of random matrices, chaos in classical and quantum mechanics,
stochastic differential equations,
Brownian motion theory,
neural networks theory,
regression analysis,
multivariate statistical analysis,
systems of linear algebraic equations with random coefficients,
spectral decomposition of the solutions of operator stochastic equations,
pattern recognition,
discriminant analysi
stochastic control theory.

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Research articles

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