Stochastic Newtonian equations with mean boundary conditions
Texas State University, Department of Mathematics
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.
Stochastic Newtonian systems, Mean boundary conditions, Existence and uniqueness
Guo, Y. J., & Jiang, X. M. (2021). Stochastic Newtonian equations with mean boundary conditions. <i>Electronic Journal of Differential Equations, 2021</i>(79), pp. 1-21.