On the Controllability of Nonlocal Second-Order Impulsive Neutral Stochastic Integro-Differential Equations with Infinite Delay

2014 ◽  
Vol 17 (4) ◽  
pp. 1233-1242 ◽  
Author(s):  
Diem Dang Huan
Keyword(s):  
Differential Equations ◽  
Infinite Delay ◽  
Second Order

scholarly journals The Asymptotic Behavior for Second-Order Neutral Stochastic Partial Differential Equations with Infinite Delay

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
Huabin Chen
Keyword(s):  
Asymptotic Behavior ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Exponential Stability ◽  
Mild Solution ◽  
Stochastic Partial Differential Equations ◽  
Infinite Delay ◽  
Second Order ◽  
Asymptotical Stability ◽  
Partial Differential

By establishing two Lemmas, the exponential stability and the asymptotical stability for mild solution to the second-order neutral stochastic partial differential equations with infinite delay are obtained, respectively. Our results can generalize and improve some existing ones. Finally, an illustrative example is given to show the effectiveness of the obtained results.

scholarly journals Exponential stability for neutral stochastic partial integro-differential equations of second order with poisson jumps

Filomat ◽  
2018 ◽  
Vol 32 (15) ◽  
pp. 5173-5190
Author(s):  
Alka Chadha
Keyword(s):  
Differential Equations ◽  
Exponential Stability ◽  
Mild Solution ◽  
Stochastic Partial Differential Equations ◽  
Existence And Uniqueness ◽  
Infinite Delay ◽  
Second Order ◽  
Poisson Jumps ◽  
Fixed Point Principle ◽  
Poisson Jump

This paper studies the existence, uniqueness and the exponential stability in p-th moment of the mild solution of neutral second order stochastic partial differential equations with infinite delay and Poisson jumps. The existence and uniqueness of the mild solution of neutral second order stochastic differential equation is first established by means of Banach fixed point principle and stochastic analysis. The exponential stability in the p-th moment for the mild solution to impulsive neutral stochastic integrodifferential equations with Poisson jump is obtained by establishing an integral inequality.

Sign in / Sign up

Export Citation Format

Share Document