On the Stability of Stochastic Dynamic Equations on Time Scales

Acta Mathematica Vietnamica(2017)

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摘要
This paper is concerned with some sufficient conditions ensuring the stochastic stability and the almost sure exponential stability of stochastic differential equations on time scales via Lyapunov functional methods. This work can be considered as a unification and generalization of works dealing with these areas of stochastic difference and differential equations.
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关键词
Dynamic equations on time scale,Quadratic co-variation,Martingales,Itô’s formula,Stochastic exponential function,Lyapunov stability
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