摘要:We present a Razumilchin-type theorem for stochastic delay
difference equation, and use it to investigate the mean square
exponential stability of a kind of nonautonomous stochastic
difference equation which may also be viewed as an approximation
of a nonautonomous stochastic delay integrodifferential
equations (SDIDEs), and of a difference equation arises from some
of the earliest mathematical models of the macroeconomic “trade
cycle” with the environmental noise.