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 Elliptic stochastic partial differential equations with two reflecting walls

2014 ◽  
Vol 17 (04) ◽  
pp. 1450025
Author(s):  
Wen Yue ◽  
Tusheng Zhang
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Stochastic Partial Differential Equations ◽  
Existence And Uniqueness ◽  
Multiplicative Noise ◽  
Partial Differential

In this paper, we study elliptic stochastic partial differential equations with two reflecting walls h1 and h2, driven by multiplicative noise. The existence and uniqueness of the solutions are established.

Sign in / Sign up

Export Citation Format

Share Document