%0 Journal Article
%T G-Brown运动驱动的非线性随机泛函微分方程解的存在唯一性<br>The Existence and Uniqueness of Solutions to Nonlinear Stochastic Functional Differential Equations Driven by G-Brownian Motion
%A 梁伟生
%A 苏华燕
%A 李光洁
%J Advances in Applied Mathematics
%P 3673-3678
%@ 2324-8009
%D 2021
%I Hans Publishing
%R 10.12677/AAM.2021.1011389
%X 目前，关于证明G-Brown运动驱动的非线性随机泛函微分方程解的全局存在唯一性的成果相对较少。本文利用G-Lyapunov函数方法获得了一类G-Brown运动驱动的非线性随机泛函微分方程解的全局存在唯一性的充分条件。最后，通过一个例子说明所得出的结论。<br />
There are not so many results on the existence and uniqueness of solutions to nonlinear stochastic functional differential equations driven by G-Brownian motion (G-SFDEs). By G-Lyapunov function technique, the existence and uniqueness of the global solution to a G-SFDE is obtained. Finally, an example is presented to illustrate the obtained theory.
%K 非线性随机泛函微分方程，G-Brown运动，存在唯一性<br>Nonlinear Stochastic Functional Differential Equations
%K G-Brownian Motion
%K The Existence and Uniqueness
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=46329