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

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Publication Date : 0000-00-00

Article Type : Research Paper

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