Practical stability of stochastic functional differential equations with infinite delay

Abstract

In this study, we explore the realm of practical stability within stochastic functional differential equations with infinite delay (SFDEID). Specifically, we investigate the notions of th moment and almost sure stability and develop a fresh set of criteria to effectively assess and quantify these properties. To showcase the practical significance of our findings, we apply our newly established criteria to a compelling numerical example, thereby validating the robustness and applicability of our main result.