Asymptotic stability of solutions for a certain non-autonomous second-order stochastic delay differential equation

Authors : Ahmed Mohamed Abou-el-ela, Abdel-rahiem Sadek, Ayman Mohammed Mahmoud, Eman Sayed Farghaly

Pages : 576-584

View : 12 | Download : 9

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this paper, sufficient criteria that guarantee the existence of stochastic asymptotic stability of the zero solution of the nonautonomous second-order stochastic delay differential equation \eqref{3e1} were established with the aid of a suitable Lyapunov functional. Two examples are given in the last section to illustrate our main result.
Keywords : Asymptotic stability, nonautonomous second-order stochastic delay differential equation, Lyapunov functional