Stability and Boundedness of Solutions to a Kind of Third Order Neutral Stochastic Differential Equations with Delay

This study investigates the stability and boundedness of solutions to a specific type of third order neutral stochastic differential equations with delay. The analysis focuses on the stability, asymptotic stability and boundedness of solutions of the nonlinear neutral stochastic system. By employing appropriate Lyapunov-Krasovskii functional techniques, the study provides insights into the behavior of the solutions under various conditions. The results contribute to and extend the understanding of the dynamics of third order neutral stochastic differential equations with delay which have existed in the literature and have implications for applications in various fields. Examples are provided to show the effectiveness of the technique used and the reliability of the obtained theoretical results.