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Stability of stochastic dynamic equations with time-varying delay on time scales

STOCHASTIC ANALYSIS AND APPLICATIONS(2020)

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Abstract
The aim of this article is to consider the existence, uniqueness and uniformly exponential p-stability of the solution for -delay stochastic dynamic equations on time scales via Lyapunov functions. This work can be considered as a unification and generalization of stochastic difference and stochastic differential time-varying delay equations.
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Key words
Differential operator,dynamic delay equation,exponential stability,Ito's formula,Lyapunov function
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