Exponential stability of impulsive neutral stochastic functional differential equation driven by fractional Brownian motion and Poisson point processes

2017 ◽  
Vol 29 (1-2) ◽  
pp. 233-247 ◽  
Author(s):  
Brahim Boufoussi ◽  
Salah Hajji ◽  
El Hassan Lakhel
Keyword(s):  
Differential Equation ◽  
Brownian Motion ◽  
Exponential Stability ◽  
Fractional Brownian Motion ◽  
Functional Differential Equation ◽  
Point Processes ◽  
Poisson Point Processes ◽  
Stochastic Functional Differential Equation ◽  
Functional Differential ◽  
Stochastic Functional

scholarly journals On Random Periodic Solution to a Neutral Stochastic Functional Differential Equation

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Lili Gao ◽  
Litan Yan
Keyword(s):  
Differential Equation ◽  
Periodic Solution ◽  
Fixed Point ◽  
Brownian Motion ◽  
Functional Differential Equation ◽  
Existence And Uniqueness ◽  
Banach Fixed Point Theorem ◽  
Stochastic Functional Differential Equation ◽  
Functional Differential ◽  
Stochastic Functional

In this paper, we consider the random periodic solution to a neutral stochastic functional differential equation driven by Brownian motion. We obtain the existence and uniqueness of the random periodic solution by Banach fixed point theorem. Moreover, we introduce two examples to illustrate our results.

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