Electron. J. Differential Equations, Vol. 2021 (2021), No. 79, pp. 1-21.

Stochastic Newtonian equations with mean boundary conditions

Ying-Jia Guo, Xiao-Meng Jiang

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
DOI: https://doi.org/10.58997/ejde.2021.79

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Ying-Jia Guo
School of Mathematics and Statistics
Beihua University, Jilin
Jilin 132000, China
email: guoyingjia2021@163.com
Xiao-Meng Jiang
College of Mathematics
Jilin University, Changchun
Jilin 130012, China
email: jxmlucy@hotmail.com

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