Mathematical analysis establishes stability criteria for nonautonomous second-order stochastic delay systems, indicating conditions necessary to preserve long-term equilibrium.
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 \{3e1} were established with the aid of a suitable Lyapunov functional. Two examples are given in the last section to illustrate our main result.
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Abou‐El‐Ela et al. (2017) studied this question.
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