scholarly journals Almost sure exponential stability of hybrid stochastic functional differential equations

2018 ◽  
Vol 458 (2) ◽  
pp. 1390-1408 ◽  
Author(s):  
Minghui Song ◽  
Xuerong Mao
Keyword(s):  
Differential Equations ◽  
Exponential Stability ◽  
Functional Differential Equations ◽  
Stochastic Functional Differential Equations ◽  
Almost Sure Exponential Stability ◽  
Functional Differential ◽  
Stochastic Functional

scholarly journals The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Xiaofeng Zong ◽  
Fuke Wu ◽  
Chengming Huang
Keyword(s):  
Differential Equations ◽  
Exponential Stability ◽  
Linear Growth ◽  
Functional Differential Equations ◽  
Stochastic Functional Differential Equations ◽  
Neutral Differential Equations ◽  
Linear Growth Condition ◽  
Functional Differential ◽  
Theoretical Results ◽  
Stochastic Functional

Neutral differential equations have been used to describe the systems that not only depend on the present and past states but also involve derivatives with delays. This paper considers hybrid nonlinear neutral stochastic functional differential equations (HNSFDEs) without the linear growth condition and examines the boundedness and exponential stability. Two illustrative examples are given to show the effectiveness of our theoretical results.

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