Existence and stability of mild solutions to non autonomous impulsive stochastic neutral integrodifferential equations

‎The research presented in this article focuses on studying a specific category of impulsive stochastic neutral integrodifferential systems in real Hilbert space‎. ‎The first step in this process is to derive sufficient conditions for the existence and uniqueness of a mild solutions‎. ‎We obtain our results using Banach's fixed point theorem and various techniques from stochastic analysis‎. ‎In addition‎, ‎an investigation of the exponential \(p\)-stability of the mild solutions is carried out‎. ‎For an illustration of how our findings can be used‎, ‎see the final section of this paper‎.

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Publication Details

Journal
The Journal of Nonlinear Sciences and Applications
Published
2024-10-04
DOI
https://doi.org/10.22436/jnsa.017.04.03
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Existence and stability of mild solutions to non autonomous impulsive stochastic neutral integrodifferential equations

M. A. Diop, Sarkout Abdi, Papa Ali Thiam, Kh. Elbou
The Journal of Nonlinear Sciences and Applications
Nonlinear Differential Equations Analysis
article

Existence and stability of mild solutions to non autonomous impulsive stochastic neutral integrodifferential equations

M. A. Diop, Sarkout Abdi, Papa Ali Thiam, Kh. Elbou
article en

Abstract

‎The research presented in this article focuses on studying a specific category of impulsive stochastic neutral integrodifferential systems in real Hilbert space‎. ‎The first step in this process is to derive sufficient conditions for the existence and uniqueness of a mild solutions‎. ‎We obtain our results using Banach's fixed point theorem and various techniques from stochastic analysis‎. ‎In addition‎, ‎an investigation of the exponential \(p\)-stability of the mild solutions is carried out‎. ‎For an illustration of how our findings can be used‎, ‎see the final section of this paper‎.

The Journal of Nonlinear Sciences and ApplicationsVol. 17(04)
Reduced inequalities
Openalex Percentile: Top 71%
Nonlinear Differential Equations Analysis
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