Controllability results to stochastic neutral functional differential equations with delay
Abstract
This study aims to investigate the controllability result of a class of non-autonomous stochastic neutral functional differential equations with state-dependent delay. First, using operator theory and estimates of the nonlinear term, we establish the existence of a mild solution for the considered system. Second, employing Mönch's fixed point theorem and operator theory, we examine the system's controllability. Finally, we provide an illustrative example to validate the obtained results. These findings offer theoretical support for the analysis and control of complex systems in the relevant fields.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Stability and Control of Uncertain Systems
Neural Networks Stability and Synchronization
Publication details
- Journal / source
- Evolution equations and control theory
- Publisher
- American Institute of Mathematical Sciences (AIMS)
- Volume
- 20
- Issue
- 0
- Pages
- 208–228
- Publication date
- 1 January 2026