scholarly journals Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non-Lipschitz conditions

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Fengying Wei ◽  
Yuhua Cai
Keyword(s):  
Differential Equations ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
Stochastic Functional Differential Equations ◽  
Functional Differential ◽  
Lipschitz Conditions ◽  
Stochastic Functional ◽  
Stability Of The Solution

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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