scholarly journals Almost periodic solutions and stable solutions for stochastic differential equations

2017 ◽  
Vol 22 (11) ◽  
pp. 1-18
Author(s):  
Yong Li ◽  
◽  
Zhenxin Liu ◽  
Wenhe Wang ◽  
◽  
...  
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Periodic Solutions ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Stable Solutions

Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay

2019 ◽  
Vol 20 (01) ◽  
pp. 2050003
Author(s):  
Xiao Ma ◽  
Xiao-Bao Shu ◽  
Jianzhong Mao
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Fractional Calculus ◽  
Stochastic Differential Equations ◽  
Periodic Solutions ◽  
Infinite Delay ◽  
Almost Periodic Solutions ◽  
Almost Periodic

In this paper, we investigate the existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay in Hilbert space. The main conclusion is obtained by using fractional calculus, operator semigroup and fixed point theorem. In the end, we give an example to illustrate our main results.

scholarly journals Mean Square Almost Periodic Solutions for Impulsive Stochastic Differential Equations with Delays

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Ruojun Zhang ◽  
Nan Ding ◽  
Linshan Wang
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Periodic Solutions ◽  
Existence And Uniqueness ◽  
Mean Square ◽  
Almost Periodic Solutions ◽  
Almost Periodic

We establish a result on existence and uniqueness on mean square almost periodic solutions for a class of impulsive stochastic differential equations with delays, which extends some earlier works reported in the literature.

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