Asymptotic Exponential Mean-Square Stability of the Trivial Solution of Stochastic Functional-Differential Equations

1977 ◽  
Vol 21 (4) ◽  
pp. 850-854 ◽  
Author(s):  
E. F. Tsar’kov
Keyword(s):  
Differential Equations ◽  
Trivial Solution ◽  
Functional Differential Equations ◽  
Mean Square ◽  
Stochastic Functional Differential Equations ◽  
Mean Square Stability ◽  
Functional Differential ◽  
Exponential Mean Square Stability ◽  
Stochastic Functional

scholarly journals New criteria for exponential stability in mean square of stochastic functional differential equations with infinite delay

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Pham Huu Anh Ngoc
Keyword(s):  
Differential Equations ◽  
Exponential Stability ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
Mean Square ◽  
Stochastic Functional Differential Equations ◽  
Novel Approach ◽  
Functional Differential ◽  
New Criteria ◽  
Stochastic Functional

<p style='text-indent:20px;'>Stochastic functional differential equations with infinite delay are considered. A novel approach to exponential stability of such equations is proposed. New criteria for the mean square exponential stability of general stochastic functional differential equations with infinite delay are presented. Illustrative examples are given.</p>

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