Almost sure exponential stability of implicit numerical solution for stochastic functional differential equation with extended polynomial growth condition

2018 ◽  
Vol 330 ◽  
pp. 201-212 ◽  
Author(s):  
Linna Liu ◽  
Feiqi Deng ◽  
Ting Hou
Keyword(s):  
Differential Equation ◽  
Exponential Stability ◽  
Numerical Solution ◽  
Growth Condition ◽  
Polynomial Growth ◽  
Stochastic Functional Differential Equation ◽  
Almost Sure Exponential Stability ◽  
Functional Differential ◽  
Stochastic Functional ◽  
Polynomial Growth Condition

scholarly journals Exponential Stability of Impulsive Stochastic Functional Differential Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Zheng Wu ◽  
Hao Huang ◽  
Lianglong Wang
Keyword(s):  
Exponential Stability ◽  
Lyapunov Functions ◽  
Differential Systems ◽  
Stochastic Delay ◽  
Almost Sure Exponential Stability ◽  
Functional Differential Systems ◽  
Functional Differential ◽  
Delay Differential Systems ◽  
Delay Differential ◽  
Stochastic Functional

This paper is concerned with stabilization of impulsive stochastic delay differential systems. Based on the Razumikhin techniques and Lyapunov functions, several criteria onpth moment and almost sure exponential stability are established. Our results show that stochastic functional differential systems may be exponentially stabilized by impulses.

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