Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 113, pp. 1-9.

Title: Continuous dependence of recurrent solutions for stochastic differential equations
       
Authors: Haijing Qiu (Dalian Univ. of Technology, Dalian, China)
         Yan Wang    (Dalian Univ. of Technology, Dalian, China)

Abstract:
 Existence, uniqueness and asymptotic stability of recurrent solutions have been
 investigated extensively for semi-linear stochastic differential equations.
 In this article, we show that the unique recurrent solution depends continuously on
 the coefficients of the equation in the compact-open topology or uniform topology,
 which depends on how the coefficients vary with respect to the parameter. 
 
Submitted August 2, 2020. Published November 17, 2020.
Math Subject Classifications: 35B30, 37L15, 37B20, 60H10.
Key Words: Stochastic differential equation; continuous dependence; recurrent solution.