Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 79, pp. 1-21.

Title: Stochastic Newtonian equations with mean boundary conditions
       
Authors: Ying-Jia Guo    (Beihua Univ., Jilin, China)
         Xiao-Meng Jiang (Beihua Univ., Jilin, China)

Abstract:
 This article concerns stochastic Newtonian  equations driven by the white noise with
 mean boundary conditions. We obtain sufficient conditions of the existence and uniqueness
 of  solutions, and then solutions are adapted to the Brownian filtration.
 As applications, we show the existence and uniqueness of several stochastic differential
 equations with mean boundary conditions.

Submitted April 2, 2021. Published September 17, 2021.
Math Subject Classifications: 60H10, 60J50, 60J65.
Key Words: Stochastic Newtonian systems; mean boundary conditions;
           existence and uniqueness