On Random Periodic Solution to a Neutral Stochastic Functional Differential Equation

Gao Lili; Yan Litan

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On Random Periodic Solution to a Neutral Stochastic Functional Differential Equation

机译：中立型随机泛函微分方程的随机周期解

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In this paper, we consider the random periodic solution to a neutral stochastic functional differential equation driven by Brownian motion. We obtain the existence and uniqueness of the random periodic solution by Banach fixed point theorem. Moreover, we introduce two examples to illustrate our results.

机译：在本文中，我们考虑由布朗运动驱动的中立型随机泛函微分方程的随机周期解。通过Banach不动点定理，我们获得了随机周期解的存在性和唯一性。此外，我们引入两个示例来说明我们的结果。

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《Mathematical Problems in Engineering》 |2018年第14期|8353065.1-8353065.9|共9页
作者
Gao Lili; Yan Litan;
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Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China;

Donghua Univ, Dept Math, Coll Sci, Shanghai 201620, Peoples R China;

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1. On Random Periodic Solution to a Neutral Stochastic Functional Differential Equation [J] . Lili Gao, Litan Yan Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第a期

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2. Existence and global attractiveness of pseudo almost periodic solutions to impulsive partial stochastic neutral functional differential equations [J] . Zuomao Yan, Fangxia Lu Journal of computational analysis and applications . 2019,第8期

机译：伪几乎周期性解的存在和全局吸引力脉冲偏心中性功能差分方程
3. Square-Mean Almost Periodic Solutions of Neutral Stochastic Functional Differential Equations on Time Scales [J] . MENG HU, LILI WANG WSEAS Transactions on Mathematics . 2014,第Pta1期

机译：时间尺度上中立型随机泛函微分方程的平方均值概周期解
4. Existence of three positive periodic solutions of nonlinear neutral functional differential equations with impulses and delays [C] . Yaping Ren 2011 International Conference on Multimedia Technology . 2011

机译：具脉冲和时滞的非线性中立型泛函微分方程三个正周期解的存在性。
5. Numerical solution of neutral functional differential equations. [D] . Lo, Edisanter. 1993

机译：中立型泛函微分方程的数值解。
6. Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion [O] . Xinwen Zhang, Dehao Ruan -1

机译：由布朗运动和分数布朗运动驱动的中立型随机泛函偏微分方程的指数稳定性。
7. Random periodic solutions of stochastic functional differential equations [O] . Luo Ye 2014

机译：随机泛函微分方程的随机周期解

On Random Periodic Solution to a Neutral Stochastic Functional Differential Equation

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