Existence, Uniqueness and Stability Results for Impulsive Neutral Stochastic Functional Differential Equations with Infinite Delay and Poisson Jumps

2019 ◽  
Vol 8 (1) ◽  
pp. 1-11
Author(s):  
A. Anguraj ◽  
K. Banupriya
Keyword(s):  
Differential Equations ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
Stochastic Functional Differential Equations ◽  
Poisson Jumps ◽  
Functional Differential ◽  
Stability Results ◽  
Stochastic Functional

scholarly journals General Decay Stability for Stochastic Functional Differential Equations with Infinite Delay

2010 ◽  
Vol 2010 ◽  
pp. 1-17 ◽  
Author(s):  
Yue Liu ◽  
Xuejing Meng ◽  
Fuke Wu
Keyword(s):  
Differential Equations ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
General Decay ◽  
Stochastic Functional Differential Equations ◽  
General Decay Rate ◽  
Polynomial Coefficients ◽  
Functional Differential ◽  
The Stability ◽  
Stochastic Functional

So far there are not many results on the stability for stochastic functional differential equations with infinite delay. The main aim of this paper is to establish some new criteria on the stability with general decay rate for stochastic functional differential equations with infinite delay. To illustrate the applications of our theories clearly, this paper also examines a scalar infinite delay stochastic functional differential equations with polynomial coefficients.

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