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.
Authors
- M. A. Diop
- Sarkout Abdi
- Papa Ali Thiam
- Kh. Elbou
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
- Field-Weighted Citation Impact
- 0.00