Resumen de Boundedness and Partial Convergence of Solution of a Class of Stochastic Differential Equations

Tomás Caraballo Garrido , Faten Ezzine, Mohamed Ali Hammami

• In this paper, theoretical investigation has been made on the partial practical polynomial stability of stochastic differential equations. We present sufficient conditions guaranteeing the almost sure polynomial stability with respect to a part of the variables. The proofs are done via Itô’s formula and the Lyapunov method. An example is given to show the application of the main results.