2025-04-01https://repository.covenantuniversity.edu.ng/handle/123456789/41635The long run behaviour of solutions of Lipschitzian quantum stochastic differential equation (QSDE) with non-instantaneous impulse is studied. This is achieved by imposing some conditions on the coefficients associated with the map P. Using the fixed point approach, we show that a solution exists under the given conditions and subsequently establish Ulam's type stability. We present some examples to further justify its application.application/pdfQ Science (General), QA MathematicsArticle